Find the probability that a number selected at random from the numbers 1, 2, 3, ..., 35 is a
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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Total no. of possible outcomes = 35 {1, 2, 3, …. 35}
(i) 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
(ii) E ⟶ event of getting no. which is multiple of 7
No. of favourable outcomes = 5 {7, 14, 21, 28, 35}
P(E) = 5/35 = 1/7
(iii) 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}
P(E) = 16/35
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