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Home » A box contains 15 cards numbered 1, 2, 3,…..15 which are mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the card is :(iii) divisible by 3 (iv) divisible by 3 and 2 both
A box contains 15 cards numbered 1, 2, 3,…..15 which are mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the card is :
(iii) divisible by 3
(iv) divisible by 3 and 2 both
CBSE | Class 10 | Exercise 1 | maths | Maths | ML Aggarwal | Probability
A box contains 15 cards numbered 1, 2, 3,…..15 which are mixed thoroughly. A card is drawn from the box at random. Find the probability that the number on the card is :
(iii) divisible by 3
(iv) divisible by 3 and 2 both

(iii) Let E be the event of getting the number on the card is divisible by 3.

Outcomes favourable to E are {3,6,9,12,15}

Number of favourable outcomes = 5

P(E) = 5/15 = 1/3

Hence the probability of getting the number on the card is divisible by 3 is 1/3.

(iv) Let E be the event of getting the number on the card is divisible by 3 and 2 both.

Outcomes favourable to E are {6,12}

Number of favourable outcomes = 2

P(E) = 2/15

Hence the probability of getting the number on the card is divisible by 3 and 2 both is 2/15.

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