34 ) The king, queen and jack of clubs are removed from a deck of 52 playing cards and then
from reamaing well - shuffled cards, one card is drawn at random. Find the probability of
getting
a) a red card
b) a queen
c) a club
Answers
Answer:
A deck of playing cards consists of 52 cards out of which 26 are black cards and other 26 are red cards . Where as red cards consist of 13 cards of heart (♥), 13 cards of diamond(♦) and black cards consists of 13 cards of spades(♠) and 13 cards of club(♣).
King, queen and jack are called face cards so total face cards= 12
SOLUTION:
Here, King, queen and jack of club are removed from the Deck of 52 playing cards.
So remaining cards in deck= 52-3=49
Total number of outcomes= 49
i) we know that there are 13 cards of heart.
Let E1 = event of getting a heart
Number of favourable outcomes to E1= 13
Required probability P(E1)= number of available outcomes/total number of outcomes
P(E1)= 13/49
ii)
We know that there are 4 Kings in a deck. After remove removing a king of club we left with 3 kings.
Let E2 = event of getting a king
Number of favourable outcomes to E2= 3
Required probability P(E2)= 3/49
iii)
We know that there are 13 cards of club. After removing king ,queen and jack of club only 10 club cards are left in the deck.
Let E3 = event of getting a club
Number of favourable outcomes to E3= 10
Required probability P(E3)= 10/49
Hope this will help you.....
Step-by-step explanation:
oo ay a red card is right answer