Quiz: Minimax trees - Max root¶

Question 1

Consider the minimax tree above with the following values: A:-2, B:12, C:9, D:5, E:12, F:7, G:14, H:-1, I:-4, J:-4, K:5, L:-4, M:12, N:-1, O:6, P:6 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 2

Consider the minimax tree above with the following values: A:0, B:14, C:1, D:-2, E:11, F:-2, G:9, H:-5, I:6, J:-4, K:-3, L:2, M:8, N:1, O:8, P:10 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 3

Consider the minimax tree above with the following values: A:9, B:6, C:10, D:13, E:8, F:14, G:3, H:14, I:6, J:6, K:10, L:12, M:-4, N:3, O:5, P:-1 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 4

Consider the minimax tree above with the following values: A:1, B:2, C:2, D:-3, E:7, F:-2, G:9, H:-3, I:10, J:5, K:14, L:10, M:-1, N:3, O:7, P:7 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 5

Consider the minimax tree above with the following values: A:7, B:9, C:2, D:2, E:7, F:2, G:13, H:-3, I:8, J:11, K:10, L:9, M:1, N:6, O:5, P:2 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 6

Consider the minimax tree above with the following values: A:9, B:-1, C:-1, D:0, E:13, F:-5, G:4, H:6, I:8, J:0, K:1, L:7, M:-1, N:-3, O:-2, P:12 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 7

Consider the minimax tree above with the following values: A:5, B:12, C:10, D:11, E:-4, F:-2, G:-1, H:9, I:10, J:4, K:6, L:2, M:8, N:-4, O:-1, P:0 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 8

Consider the minimax tree above with the following values: A:-1, B:6, C:11, D:1, E:12, F:2, G:6, H:1, I:1, J:9, K:13, L:8, M:4, N:5, O:9, P:-4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 9

Consider the minimax tree above with the following values: A:12, B:11, C:-2, D:8, E:-3, F:-2, G:-4, H:8, I:3, J:9, K:13, L:9, M:-3, N:-2, O:14, P:11 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 10

Consider the minimax tree above with the following values: A:-4, B:3, C:11, D:-5, E:-1, F:5, G:-1, H:11, I:13, J:6, K:-5, L:-2, M:5, N:7, O:7, P:6 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 11

Consider the minimax tree above with the following values: A:-1, B:-5, C:4, D:-2, E:3, F:0, G:11, H:4, I:6, J:14, K:1, L:2, M:-3, N:9, O:5, P:3 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 12

Consider the minimax tree above with the following values: A:9, B:6, C:14, D:8, E:8, F:3, G:7, H:0, I:7, J:2, K:9, L:14, M:7, N:3, O:11, P:2 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 13

Consider the minimax tree above with the following values: A:14, B:-5, C:5, D:11, E:3, F:13, G:11, H:6, I:10, J:1, K:5, L:6, M:0, N:11, O:-3, P:4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 14

Consider the minimax tree above with the following values: A:10, B:13, C:6, D:13, E:7, F:6, G:-3, H:0, I:3, J:-5, K:3, L:14, M:7, N:5, O:-2, P:10 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 15

Consider the minimax tree above with the following values: A:12, B:5, C:7, D:13, E:5, F:8, G:0, H:12, I:1, J:4, K:-2, L:4, M:1, N:-2, O:14, P:-4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 16

Consider the minimax tree above with the following values: A:-4, B:13, C:10, D:-1, E:7, F:8, G:-3, H:2, I:4, J:1, K:6, L:14, M:-4, N:-5, O:8, P:-1 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 17

Consider the minimax tree above with the following values: A:9, B:1, C:2, D:4, E:10, F:10, G:6, H:-2, I:-4, J:-4, K:3, L:10, M:-2, N:-5, O:-1, P:12 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 18

Consider the minimax tree above with the following values: A:9, B:11, C:6, D:6, E:6, F:0, G:3, H:11, I:2, J:0, K:-5, L:9, M:-1, N:13, O:-4, P:9 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 19

Consider the minimax tree above with the following values: A:-2, B:5, C:11, D:9, E:-2, F:-3, G:12, H:-4, I:-2, J:11, K:5, L:-2, M:-2, N:6, O:-1, P:9 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 20

Consider the minimax tree above with the following values: A:-5, B:9, C:10, D:0, E:13, F:-3, G:-3, H:2, I:10, J:13, K:9, L:5, M:-4, N:9, O:1, P:2 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 21

Consider the minimax tree above with the following values: A:1, B:-2, C:8, D:12, E:8, F:1, G:-3, H:2, I:9, J:-5, K:1, L:2, M:-1, N:1, O:7, P:9 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 22

Consider the minimax tree above with the following values: A:7, B:2, C:-5, D:-2, E:7, F:14, G:14, H:-5, I:3, J:-1, K:8, L:12, M:1, N:10, O:1, P:14 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 23

Consider the minimax tree above with the following values: A:8, B:-1, C:-1, D:4, E:7, F:-4, G:10, H:9, I:0, J:1, K:-1, L:0, M:11, N:-1, O:1, P:-5 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 24

Consider the minimax tree above with the following values: A:8, B:1, C:13, D:-2, E:11, F:-5, G:-3, H:14, I:8, J:-4, K:-5, L:7, M:1, N:11, O:-4, P:14 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 25

Consider the minimax tree above with the following values: A:-5, B:13, C:-4, D:5, E:-5, F:-1, G:13, H:1, I:10, J:7, K:-5, L:-3, M:11, N:4, O:7, P:1 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 26

Consider the minimax tree above with the following values: A:10, B:1, C:4, D:6, E:2, F:8, G:-1, H:4, I:13, J:7, K:13, L:5, M:3, N:3, O:9, P:0 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 27

Consider the minimax tree above with the following values: A:5, B:0, C:6, D:-4, E:-2, F:-3, G:0, H:14, I:-1, J:8, K:6, L:-5, M:6, N:-5, O:8, P:4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 28

Consider the minimax tree above with the following values: A:12, B:-4, C:-3, D:-4, E:12, F:8, G:0, H:7, I:12, J:4, K:2, L:-3, M:10, N:0, O:2, P:-4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 29

Consider the minimax tree above with the following values: A:7, B:3, C:7, D:14, E:-2, F:11, G:4, H:1, I:-3, J:1, K:10, L:11, M:2, N:-5, O:14, P:0 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 30

Consider the minimax tree above with the following values: A:11, B:-2, C:8, D:-3, E:-3, F:11, G:5, H:1, I:-2, J:-2, K:9, L:-2, M:2, N:13, O:-4, P:7 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 31

Consider the minimax tree above with the following values: A:4, B:5, C:6, D:7, E:3, F:14, G:2, H:10, I:-5, J:12, K:12, L:14, M:7, N:8, O:-2, P:-5 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 32

Consider the minimax tree above with the following values: A:-5, B:0, C:9, D:-3, E:10, F:-1, G:-5, H:7, I:14, J:9, K:3, L:9, M:9, N:-4, O:1, P:-4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 33

Consider the minimax tree above with the following values: A:0, B:4, C:8, D:3, E:-2, F:7, G:9, H:10, I:8, J:0, K:14, L:10, M:-2, N:-2, O:13, P:11 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 34

Consider the minimax tree above with the following values: A:14, B:3, C:5, D:4, E:-4, F:1, G:0, H:8, I:1, J:4, K:-3, L:11, M:0, N:2, O:11, P:-5 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 35

Consider the minimax tree above with the following values: A:-4, B:8, C:12, D:8, E:11, F:8, G:6, H:12, I:8, J:14, K:5, L:13, M:11, N:0, O:6, P:2 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 36

Consider the minimax tree above with the following values: A:12, B:1, C:0, D:8, E:1, F:1, G:-2, H:3, I:1, J:2, K:8, L:8, M:6, N:-2, O:12, P:6 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 37

Consider the minimax tree above with the following values: A:5, B:13, C:6, D:-1, E:1, F:3, G:3, H:-2, I:4, J:-3, K:4, L:-1, M:2, N:1, O:2, P:-5 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 38

Consider the minimax tree above with the following values: A:11, B:-2, C:6, D:0, E:-2, F:12, G:5, H:11, I:14, J:3, K:5, L:-4, M:7, N:4, O:11, P:-4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 39

Consider the minimax tree above with the following values: A:3, B:0, C:-1, D:-1, E:13, F:-1, G:-1, H:11, I:3, J:-1, K:11, L:-4, M:9, N:4, O:8, P:9 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 40

Consider the minimax tree above with the following values: A:0, B:10, C:1, D:9, E:0, F:-3, G:-3, H:10, I:-2, J:11, K:4, L:1, M:9, N:5, O:3, P:-3 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 41

Consider the minimax tree above with the following values: A:14, B:-3, C:2, D:-4, E:4, F:-2, G:5, H:8, I:7, J:8, K:14, L:8, M:13, N:10, O:-3, P:-5 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 42

Consider the minimax tree above with the following values: A:8, B:-5, C:14, D:9, E:1, F:1, G:7, H:10, I:3, J:-3, K:2, L:8, M:12, N:7, O:-4, P:0 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 43

Consider the minimax tree above with the following values: A:5, B:2, C:-2, D:1, E:11, F:13, G:-4, H:13, I:14, J:9, K:6, L:6, M:4, N:10, O:12, P:13 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 44

Consider the minimax tree above with the following values: A:2, B:13, C:-2, D:-5, E:1, F:2, G:0, H:1, I:-4, J:6, K:-3, L:3, M:0, N:-3, O:5, P:9 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 45

Consider the minimax tree above with the following values: A:11, B:10, C:12, D:8, E:10, F:-4, G:9, H:10, I:-3, J:5, K:9, L:-5, M:-1, N:13, O:5, P:5 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 46

Consider the minimax tree above with the following values: A:10, B:-4, C:4, D:3, E:-4, F:-2, G:11, H:2, I:3, J:8, K:11, L:5, M:5, N:9, O:2, P:6 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 47

Consider the minimax tree above with the following values: A:9, B:11, C:10, D:5, E:0, F:8, G:1, H:-2, I:-3, J:8, K:-5, L:3, M:-1, N:8, O:9, P:-1 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 48

Consider the minimax tree above with the following values: A:11, B:12, C:10, D:-5, E:7, F:4, G:6, H:1, I:-1, J:9, K:2, L:12, M:2, N:14, O:5, P:4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 49

Consider the minimax tree above with the following values: A:2, B:2, C:2, D:-3, E:12, F:5, G:0, H:3, I:5, J:-2, K:-4, L:5, M:14, N:-5, O:3, P:4 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?

Question 50

Consider the minimax tree above with the following values: A:4, B:-3, C:-5, D:12, E:-1, F:-3, G:-4, H:1, I:-4, J:10, K:-2, L:6, M:5, N:-5, O:1, P:-2 Suppose two optimal players, Max and Min, play a game. They take turns trying to maximize and minimize the utility. If Max is the root, what is the minimax value of the root?