12. One card is drawn from a well-shuffled deck of 52 cards. Find the
probability of getting:
(i) A face card?
(ii) A black card?
(iii) The jack of hearts?
(iv)
The queen of diamonds?
Answers
2) To find probability of a face card - P(f)
P(f) = Number of face cards in a deck / Total Number of card
∵ Total number of face cards = 4 kings + 4 queens + 4 Jacks = 12
∴ P(f) = 12 / 52
P(f) = 0.2307 ....... (2)
4) To find the probability of the jack of hearts P(Jh)
As there is only one jack of hearts in the deck
P(Jh) = 1 / 52
P(Jh) = 0.0192 ...... (4)
6) To find probability of a Queen of Diamonds = P(Qd)
P(Qd) = Number of Queens of Diamonds in a deck / Total Number of card
∵ There is only one queen of diamonds in the deck,
∴ P(Qd) = 1 / 52
Step-by-step explanation:
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Total Number of cards in a deck = 52
We know that,
Probability = favourable outcome / number of outcome
(i) Total face cards in a deck(favourable outcome) = 12
so, probability = 12/52
(ii) Total lack cards in a deck = 26
so, probability = 26/52
(iii) Total jack of hearts in a deck = 1
so, probability = 1/52
(iv) Total queen of diamonds in a deck = 1
so, probability = 1/52
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