Question

23
37
A card is drawn at random from a pack of 52 cards. Find the probability that the
card drawn is neither an ace nor a king
(a) 11/13 (b) 2/13 C) 1/13 (d) 4/13
49.9
ACTION​

Answer 1

Given :

• the card drawn is neither an ace nor a king.

To find :

• the probability that the card drawn is neither an ace nor a king.

Solution :

⇒ Let's find the probability.

• No of ace = 4
• No of king = 4
• No of cards = 52

Here, in this question. We are asked to find the probability that the card drawn is neither an ace nor a king. So, here ace or king should not be taken. Therefore :

→ Probability = (Number of outcomes)/(Total number of outcomes)

→ Probability = [52 - (4 + 4)]/(52)

→ Probability = [52 - (8)]/(52)

→ Probability = (44)/(52)

→ Probability = (44)/(52) [HCF of 44 and 52 = 4]

→ Probability = (44 ÷ 4)/(52 ÷ 4)

→ Probability = 11/13

• Therefore, the probability that the card drawn is neither an ace nor a king is 11/13.