Question

The king,queen and jack of clubs are removed from a deck of 52 playing cards.
The remaining cards are well shuffled and one card is drawn at random from it
.Find The probability of getting the selected card as(i) heart (ii).a king (iii).aclub
(class 10 CBSE SAMPLE PAPER 2017-18 MATHS)

Answer 1

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.....

Answer 2

Remaining Cards 49
i) heart = 4
P (E) = 4/49
ii) king =3
p(e)=3/49
iii) a club 10

p(e)= 10/49