Question

6. A card is drawn from a well-shuffled deck of 52 cards. Find the probabilities of each of the
following:
(a) a black card (b) a king
(c) not a spade
(d) an ace
(e) an ace of spade​

Answer 1

Answer:

Step-by-step explanation: In a deck of cards , there are 52 distinct cards. Out of 52 cards, there are 26 cards are black cards while other 26 cards are red card.

A deck of card contains :

26 black cards

26 red cards

4 kings

13 spades, 13 hearts,13 diamond,12 clubs

4 aces

a) Probability of picking black card = 26/52=0.5

b) Probability of getting a king = 4/52=1/13

c)Probability of card being not spade=1-13/52=1-1/4=3/4=0.75

d)Probability of an Ace = 4/52=1/13

e) Probability of Ace of spade is solved using concept of conditional probability = 1/52