Lindsey made up a new game to play in her sixth grade class. In her game, player

Question

Lindsey made up a new game to play in her sixth grade class. In her game, players take turns rolling two tetrahedral dice (four sided) numbered 1 through 4 on the sides and find the sum of the two dice. If an even number sum is rolled, then Player A scores a point. If an odd number sum is rolled, then Player B gets a point. Construct the sample space for Lindsey's game. Determine the theoretical probability for each of the outcomes in the sample space. Is Lindsey's game a fair game? Why or why not? Consider the following Venn diagram:

Explanation / Answer

sample space s = { 2,3,4,5,6,7,8}.

the probability for each outcomes are as follows:

X 2 3 4 5 6 7 8

P[X] 1/16 (1,1) 2/16 (1,2)(2,1) 3/16 4/16 3/16 2/16(3,4),(4,3) 1/16(4,4)

yes it is fair game as it is not biased and outcomes are equally likely.

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