Question

Which pair of events are overlapping when rolling a single six-sided die?

A.)
Getting an odd number
Getting a number less than 4
B.)
Getting a prime number
Getting a number less than 2
C.)
Getting a 4
Getting an odd number
D.)
Getting a prime number
Getting a number greater than 5

Answer 1

A.

Explanation:

The reason why option A overlaps is because we are given the restriction of getting an odd number and getting a number less than 4. Numbers less than 4 are 1, 2, 3. 1 and 3 are odd numbers and are also less than 4.

I thought about the answer being potentially B because the restrictions are very similar to option A. However, numbers less than 2 is just 1, and 1 is NOT a prime number because 1 has less than two factors. Therefore, option B does not overlap.

C. is not the answer because 4 is an even number, and the restriction we are given are odd numbers.

D. is not the answer because a 6-sided die will only have the maximum number of 6 dots, and 6 is not a prime number.