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NCERT Class XII Mathematics Chapter - - Solutions

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Question : 19
Total: 101
Two cards are drawn at random and without replacement from a pack of 52 playing cards. Find the probability that both the cards are black.
Solution:  
Let E1 be the event that first drawn card is black card
⇒P(E1)=
26
52
=
1
2
.
Let E2 be the event when second drawn card is black without replacement then P(E2|E1)=
25
51
.Hence, the required probability is P(E1∩E2)=P(E1)P(E2|E1) =
26
52
×
25
51
=
25
102
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