Question

In a repeated experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 9 is 6 over 36. Predict how many times the rolls will result in a sum greater than 9 if the experiment is repeated 144 times.

24
12
9
6

Answer 1

(a) 24

Explanation:

You want the theoretical probability of rolling a sum greater than 9 if the experiment of rolling two dice is repeated 144 times.

Expected Number

The expected number of desired outcomes is the probability of each, multiplied by the number of trials.

The probability of a number greater than 9 is 6/36 = 1/6. In 144 trials, the expected number of outcomes greater than 9 is ...

(1/6)(144) =24

It is predicted that 24 times the rolls will sum to greater than 9, choice A.

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