out of a deck of 52 playing cards, two black kings and 4 red cards( not king) are removed. A card is drawn at random. Find the probability that the card drawn is :
(a) a black jack
(b) a black queen
(c) a black card
(d) a king
Answers
a) No. of black jacks in a deck = 2
Total number of cards = 46
Probability = 2/46 = 1/23
b) No. of black queens in a deck = 2
Total number of cards = 46
Probability = 2/46 = 1/23
c) No. of black cards = 13 - 2 = 11 (As two black kings have been removed)
Total number of cards = 46
Probability = 11/46
d) No. of kings = 4 - 2 = 2 (As two black kings have been removed)
Total number of cards = 46
Probability = 2/46 = 1/23
Hope that helps !!
Probability of getting a black jack is 1/23
Probability of getting a balck queen is 1/23
Probability of getting a black card is 12/23
Probability of getting a is 1/23
Given:
Out of a deck of 52 playing cards, two black kings and 4 red cards( not kings) are removed. A card is drawn at random.
To find:
Find the probability that the card drawn is :
(a) a blackjack (b) a black queen
(c) a black card (d) a king
Solution:
Given that Out of a deck of 52 playing cards, two black kings and 4 red cards (not kings) are removed.
Then remaining cards = 52 - 4 - 2 = 46
Total number of cards = 46
a) No. of blackjacks in a deck = 2
Probability of getting a black jack = 2/46 = 1/23
b) No. of black queens in a deck = 2
Probability of getting a black queen = 2/46 = 1/23
c) No. of black cards in a deck = 26
As we know 2 cards are removed
=> Remaining black cards = 24
Probability of getting a black card = 24/46 = 12/23
d) No. of kings in a deck = 4
As we know 2 kings are removed
Remaining kings = 2
Probability of getting a king = 2/46 = 1/23
Therefore,
Probability of getting a black jack is 1/23
Probability of getting a balck queen is 1/23
Probability of getting a black card is 12/23
Probability of getting a is 1/23
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