Q. 115.0( 2 Votes )

From a well-shuffled pack of cards, a card is drawn at random. Find the probability of its being either a queen or a heart.

Answer :

let A denote the event that the card drawn is queen and B denote the event that card drawn is the heart.


In a pack of 52 cards, there are 4 queen cards and 13 heart cards


Given : P(A) = , P(B) =


To find : Probability that card drawn is either a queen or heart = P(A or B)


The formula used : Probability =


P(A or B) = P(A) + P(B) - P(A and B)


P(A) = (as favourable number of outcomes = 4 and total number of outcomes = 52)


P(B) = (as favourable number of outcomes = 13 and total number of outcomes = 52)


Probability that card drawn is both queen and heart = P(A and B)= 1


(as there is one card which is both queen and heart i.e queen of hearts)


P(A or B) = + – 1


P(A or B) =


P(A or B)=


Probability of a card drawn is either a queen or heart = P(A or B) =


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