Question

One card is drawn at random from a pack of cards. Find the probability that it is black card.

Answer 1

A deck of playing cards consists of 52 cards out of which 26 are black cards and  other 26 are red cards, where red cards consists of 13 cards of heart , 13 cards of diamond and black cards consists of 13 cards  of spades and 13 cards are club.

13 cards in each suit are king ,queen, Jack, 10, 9,8,7,6, 5, 4, 3 and 2.
King, queen ,and jack are called face cards. Total number of face cards are 12.

SOLUTION:
Total number of outcomes = 52

Favourable outcomes = 26 cards are of black card (13 Spades +13 club)
Number of favourable outcomes= 26

Probability = Number of favourable outcomes/ Total number of outcomes.
Required probability = P(black card) = 26/52= 1/2

Hence, the probability that the card  drawn is black card ½.

HOPE THIS WILL HELP YOU...

Answer 2

total black cards =26 probability = favorable outcomes/total outcome total outcome =56 so probability ( black card)=26/52=1/2