Question

One card is drawn from a pack of 52 cards. What is the probability of getting (i) an ace or a king? (ii) a red card and a king? (iii) a face card? (iv) a king or a queen or a jack?

Answer 1

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Total outcomes = 52

(i) Ace or King
There are 4 kings and 4 aces in a deck. Either one of them is favourable.
No. of favourable outcomes = 8
P(E) = 8/52 = 2/13

(ii) Red card and King
The drawn card must be a red card and a king simultaneously. There are only two such card: the King of Hearts and the King of Diamonds
No. of favourable outcomes = 2
P(E) = 2/52 = 1/26

(iii) Face card
A face card is a card which does not have any number on it. There are 12 such cards in a deck: 4 kings, 4 queens, 4 jacks.
No. of favourable outcomes = 12
P(E) = 12/52 = 3/13

(iv) King, Queen, Jack
There are 4 kings, 4 queens and 4 jacks in a deck.
No. of favourable outcomes = 12
P(E) = 12/52 = 3/13

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Answer 2

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