Question

A die is rolled 200 times and its outcomes are released as below. Outcomes 1,2,3,4,5,6. frequency 25,35,40,28,42,30. find the probability of getting a multiple of 3 and not a prime number

Answer 1

multiple of 3 are 3and 6 so possible outcome are 40+30=70.
p(e)=70/200===
p(e)=7/20

Answer 2

we know the multiples of 3 on a dice is 3, and 6. also it is specified that it shouldn't be a primes no. then it must be 6. so the no. of times 6 comes over the dice is 30. so the probability is:
30/100
= 3/10
=0.3
∴ the probability of getting a multiple of 3 and not a prime no. is 0.3