Question

Two cards are drawn from a well shuffled pack of 52 cards. The probability that one of them is a queen and the other is an ace is​

Answer 1

Answer:

Since cards are drawn without replacement.

Total no. of cases, i.e., P(S)=51×51=2652

Let A be the event of getting a queen and king of opposite colours

A={Q

h

K

s

,Q

h

K

c

,Q

d

K

s

,Q

d

K

c

,Q

s

K

h

,Q

s

K

d

,Q

c

K

h

,Q

c

K

d

,K

h

Q

s

,K

h

Q

c

,K

d

Q

s

,K

d

Q

c

,K

s

Q

h

,K

s

Q

d

,K

c

Q

h

,K

c

Q

d

}

Here h,s,d,c represent heart, spade, diamond and club respectively.

∴n(A)=16

∴P(A)=

n(S)

n(A)

=

2652

16

=

663

4

Hence the probability that one of these is a queen and the other is a king of opposite colour is

663

4

.

Step-by-step explanation:

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