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Each coin in the bag, which comprises 50 of them, is numbered from 51 to 100. The coin is chosen at random.

What is the probability that the coin's number is not a prime number?

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15

35

25

45

answer is D.

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Detailed Solution

Given that, the total number of coins is 50.
We have to find the probability that the coin's number is not a prime number.
The probability of an event A is given by,

P (A) = Number of favourable outcomes T o t a l number of outcomes

So, the total number of coins, n(S) = 50.
Let A be the event of choosing a number that is not prime.
The prime numbers between 51 and 100 are

53, 59, 6, 67, 71, 73, 79, 83, 89, 97

.
So, the number of prime numbers is 10.
The remaining numbers are

n (A) = 50 − 10

⇒ n (A) = 40

So, the probability of choosing a number that is not prime is given by,

P (A) = n (A) n (S) ⇒ P (A) = 4050 ⇒ P (A) = 45

So, the probability of choosing a number that is not prime is

45

.
Hence, option 4 is the correct option.

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