Question

a fair six-sided die is rolled 60 times. theoretically, about how many times should a roll of \3\ occur?

a. 15
b. 3
c. 10
d. there is no way to tell.

Explanation:

Determine the probability of rolling a "3"

$$ P(\text{rolling a 3}) = \frac{1}{6} $$

Calculate the expected frequency for 60 rolls

$$ \text{Expected frequency} = 60 \times \frac{1}{6} = 10 $$

Answer:

• (A) 15
• (B) 3
• (C) 10 (Correct answer)
• (D) There is no way to tell.