Question

A new casino game involves rolling 3 dice. The winnings are directly proportional to the total number of sixes

rolled. Suppose a gambler plays the game 100 times, with the following observed counts:

Number of Sixes

0

1

2

3

Number of rolls

48

35

15

2

The casino becomes suspicious of the gambler and wishes to determine whether the dice are fair.At the 5% significance level, is there evidence that the dice are not fair? Note: the classical probability of each outcome is given below for your convenience.

Number of Sixes

0

1

2

3

Number of Rolls

0.58

0.34

0.07

0.01

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