Question

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. Select the correct answer from above options

Answer 1

In a pack of 52 cards, there are 4 king cards and 4 queen cards Let A denote the event that the card drawn is queen and B denote the event that card drawn is king. Then, P(A) = 4/52 and P(B) = 4/52 As a card cannot be both king and queen in the same time, so P(A and B) = 0 Using formula, P(A or B) = P(A) + P(B) – P(A and B) P(A or B) = 4/52 + 4/52 – 0 = 2/13 Probability of a card drawn is king or queen = P(A or B) = 2/13