All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting
(v) a spade
(vi) ‘9’ of black colour.
All the three face cards of spades are removed from a well-shuffled pack of 52 cards. A card is then drawn at random from the remaining pack. Find the probability of getting
(v) a spade
(vi) ‘9’ of black colour.

(v) Let E be the event of getting a spade.

There will be 10 spades.

Number of favourable outcomes = 10

P(E) = 10/49

Hence the probability of getting a spade is 10/49.

(vi) Let E be the event of getting ‘09’ of black colour.

There will be 2 such cards.

Number of favourable outcomes = 2

P(E) = 2/49

Hence the probability of getting ‘09’ of black colour is 2/49.