Question

Find the probability of rolling a prime number when a 16-sided die is rolled.

A) 5/16
B) 3/8
C) 7/16
D) 1/16

Answer 1

Explanation:

If the given dice is 16-sided, then it would contain following numbers:-

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16

We know that, the numbers which aren't divisible by any numbers except itself and 1 are prime numbers.

Out of 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16

the prime numbers are as follow:-

2,3,5,7,11,13

Here, the number of prime numbers are 6,

Therefore, the probability of rolling a prime number when the dice is rolled is

• 6/16=3/8

Hence, option B. is the correct answer.

Answer 2

6/16

Explanation:

On a 16 sided die there would be number as follows :

1,2,3,.. 16 The prime number out in this set of numbers are

2,3,5,7,11, and 13

There are 6 prime number so the probability of rolling a prime number is

6/16