From a pack of 52 playing 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
(i) a black queen (ii) a red card (iii) a black jack (iv) a picture card (Jacks, queens and kings are picture cards)
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Answered by
3
Answer:
ss=52-8=44
1/24
13/24
1/24
1/8
Step-by-step explanation:
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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.
Solution1
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 C¹/²C¹
= 44/2
= 22/1
Solution(ii):
( Selecting 1 out of 44 items) a red card is picked.
Let E be the event of getting a red card from the pack
We know that, Probability P(E) = (Total no.of possible outcomes)/(No.of favorable outcomes)
= 44C 1/18 C 1
= 44/18
= 22/9
Solution(iii):
We know that, Probability P(E) = (Total no.of possible outcomes)/(No.of favorable outcomes)
= 44c¹/ ²C¹
= 44/2
= 22/1
Solution(iv):
We know that, Probability P(E) = (Total no.of possible outcomes)/(No.of favorable outcomes)
= 44C¹/6 C ¹
= 44/6
= 22/3
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