Q.

What is the probability of getting a prime number from the first 20 natural numbers?

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a

320

b

520

c

720

d

920

answer is D.

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Detailed Solution

Concept: Probability of getting probability of the occurrence of an event isP(E)=Total number of favorable outcomesTotal number of outcomes.

We have given 20 natural numbers.

That is, n(S)=20

There are 9 prime numbers in the first 20 natural numbers that are 2, 3, 5, 7, 9, 11, 13, 17, 19.

E is the event of getting a prime number from first 20 natural numbers.

Now, n(E)=9

Thus, P(E)=n(E)n(S)=920

Hence, the probability of getting a prime number from the first 20 natural numbers is 920.

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