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# Find the Probability that a Number Selected at Random from the Numbers 1, 2, 3, ..., 35 is A Prime Number - CBSE Class 10 - Mathematics

ConceptProbability - A Theoretical Approach

#### Question

Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a Prime number

#### Solution

Total no. of possible outcomes = 35 {1, 2, 3, …. 35}

E ⟶ event of getting a prime no.

No. of favourable outcomes = 11 {2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31}

Probability, P(E) ="No.of favorable outcomes"/"Total no.of possible outcomes"

= 11/35

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Solution Find the Probability that a Number Selected at Random from the Numbers 1, 2, 3, ..., 35 is A Prime Number Concept: Probability - A Theoretical Approach.
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