Question

All face cards are removed from a deck of 52 playing cards and then well shuffled. One card is selected from remaining cards. Find the probability of getting

(a) a queen

(b) the '10' of clubs

(c) a black card​

Answer 1

Step-by-step explanation:

SOLUTION:

Given : All the black face cards are removed from a pack of 52 cards .

King, queen ,and jack are called face cards.

2 black Kings, 2 black queen and 2 black jack are removed from the Deck of 52 playing cards.

So, remaining cards in deck = 52 - 6 = 46

Total number of outcomes = 46

(i) We know ,that there are 12 face cards.

6 black face cards are removed.

Remaining face cards = 12 - 6 = 6

Let E1 = Event of getting a face card

Number of favourable outcomes to E1= 6

Required probability P(E1)= Number of favourable outcomes / total number of outcomes

P(E1) = 6/46 = 3/23

Hence, the Required probability of getting a face card , P(E1) = 13/46

ii) We know ,that there are 26 red cards in a deck.

Let E2 = event of getting a red card

Number of favourable outcomes to E2 = 26

Answer 2

Step-by-step explanation:

(b) the '10' of clubs.

hope it helps you