Question

one card is drawn from a well shuffled deck of 52 cards.Find the probability of getting
a)a king of red colour
b)a face card
c)a red face cards
d)the jack of hearts
e)a spade
f)the queen of diamonds​

Answer 1

Hi ...
Answer -

1) To find probability of a king of red colour in a deck of card - P(kr)
P(kr) = (Number of Kings of red colour) / Total Number of cards
P(kr) = 2 / 52
P(kr) = 0.0384 ...... (1)

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)

3) To find probability of a red face card P(fr)
P(fr) = Number of Red face cards in a deck / Total Number of card
∵ Total number of Red face cards = 2 kings + 2 queens + 2 Jacks = 6
∴ P(fr) = 6 / 52
P(fr) = 0.1154 ....... (3)

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)

5) To find probability of a spade card P(s)
P(s) = Number of Red face cards in a deck / Total Number of card
∵ Total number of Spade cards = 13
∴ P(s) = 13 / 52 = 1/4
P(s) = 0.25 ....... (5)

6) To find probability of a Queen of Diamonds = P(Qd)
P(Qd) = Number of Queens of Diamonds in a deck / Total Number of cards
∵ There is only one queen of diamonds in the deck,
∴ P(Qd) = 1 / 52
P(f) = 0.0192 ....... (6)

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