Question

Jason rolled a six-sided fair die
30
times and recorded the number five
8
times. Based on this information, which statement is true?


If he rolls the die
30
more times, he will give the number five
8
more times.


The probability of rolling the number five is
4
15
.


If he rolls the die
30
more times, he is likely to roll the number five
5
more times


The probability of rolling the number
5
is
1
3

Answer 1

The third statement is true.

Reason: For a fair six-sided die P(rolling a 5) = 1/6, so the expected number of 5s in 30 independent rolls is 30*(1/6) = 5. The observed 8 out of 30 is just a sample frequency and does not force the next 30 rolls to match.