From a pack of 52 cards jacks, queens, kings and aces of red colour are removed. From the remaining, a card
is drawn at random. Find the probability that the card drawn is a face card.
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Total no. of cards in a pack =52
After removing red-colored - jack, queen, king, and aces,
No. of cards =52−8=44 and
No. of red cards =26−8=18.
Solution(i):
No. of black queens =2
Therefore,
2
C
1
( Selecting 1 out of 2 items) times out of
44
C
1
( Selecting 1 out of 44 items) a black queen is picked.
Let E be the event of getting a black queen from pack
We know that, Probability P(E) =
(Total no.of possible outcomes)
(No.of favorable outcomes)
=
44
C
1
2
C
1
=
44
2
=
22
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