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

(i) Prime number (ii) Multiple of 7 (iii) Multiple of 3 or 5

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Numbers from 1, 2, 3….. 35 are a total of 35.

Total no. of possible outcomes = 35

(i) Let E = event of getting a prime number

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

Probability, P(E) = Number of favourable outcomes/ Total number of outcomes

P(E) = 11/35

(ii) Let E = event of getting a number which is a multiple of 7

No. of favourable outcomes = 5 {7, 14, 21, 28, 35}

Probability, P(E) = Number of favourable outcomes/ Total number of outcomes

P(E) = 5/35 = 1/7

(iii)  Let E = Event of getting no which is multiple of 3 or 5

No. of favourable outcomes = 16 {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 5, 10, 20, 25, 35}

Probability, P(E) = Number of favourable outcomes/ Total number of outcomes

P(E) = 16/35

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