From a well-shuffled pack of 52 cards, a card is drawn at random. Find the probability of its being a king or a queen
let A denote the event that the card drawn is king and B denote the event that card drawn is queen.
In a pack of 52 cards, there are 4 king cards and 4 queen cards
Given : P(A) = , P(B) =
To find : Probability that card drawn is king or queen = 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 = 4 and total number of outcomes = 52)
Probability that card drawn is king or queen = P(A and B)= 0
(as a card cannot be both king and queen in the same time)
P(A or B) = +
– 0
P(A or B) =
P(A or B)=
Probability of a card drawn is king or queen = P(A or B) =