Test: Common Core: High School - Statistics and Probability

1.

Two college students, Joe and Melissa, are playing a tabletop role-playing game where snake eyes (a value of one on each of the two dice) allows one opponent to effectively attack the other. After two turns Joe roles snake eyes two times consecutively while Melissa has not rolled it once. She begins to believe that Joe is using loaded dice, which would give him an unfair advantage. She decides to test this theory by rolling her fair dice two time in a row for sixty trials. Melissa knows that the probability of rolling snake eyes is fairly low; furthermore, after sixty trials she only roles snake eyes two times in a row.

Which of the following will Melissa most likely conclude?

 

Melissa miscalculated the probability of rolling snake eyes

Melissa cannot tell if Joe is using loaded or fair dice

Joe is using fair dice

Joe has tricked her by using loaded dice

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