Question

From a pack of 52 cards , jack , queen , king and aces of red colour are removed . From the remaining A card is drawn at random. Find the probability that the card is drawn is a) a black queen b) a red card c ) a black jack d). A picture card

Answer 1

A) 2/44
B)18/44
C) 2/44
D)8/44

Answer 2

Answer:

The probability is

$(a)\frac{1}{22}, (b)\frac{9}{22}, (c)\frac{1}{22}, (d)\frac{3}{22}$

Step-by-step explanation:

Given a pack of 52 cards , jack , queen , king and aces of red colour are removed.

Total number of cards = 52

Cards removed = 2 + 2 + 2 + 2 = 8

Remaining number of cards = 52 - 8 = 44

(a) Number of black queens = 2

$\text{Required probability = }\frac{2}{44}=\frac{1}{22}$  

(b) Number of red cards left = 26 - 8 = 18

$\text{Required probability = }\frac{18}{44}=\frac{9}{22}$

(c) Number of black jacks = 2

$\text{Required probability =  }\frac{2}{44}=\frac{1}{22}$  

(d) Number of picture(face cards) cards left = 2 + 2 + 2 = 6

$\text{Required probability = }\frac{6}{44}=\frac{3}{22}$