Question

ace king jack and red queens are removed from the deck of 52 cards .One card is drawn from the remaining.The probability that the drawing card will be queen is ​

Answer 1

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