All kings, jacks, diamonds have been removed from a pack of 52 playing cards and the remaining cards are well shuffled. A card is drawn from the remaining pack. Find the probability that the card drawn is a red queen?
a)1/33
b)7/31
c)6/31
d)5/33
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Answer:
(a) 1/33
Step-by-step explanation:
No. of kings = 4
No. of jacks = 4
No. of diamonds (apart from kings and jacks) = 13 -2 = 11
Total cards removed = 11 + 4 + 4 = 19
Cards remaining = 52 - 19 = 33
No. of red queens initially (before removal) = 2
No. of queens after (as one diamond queen was removed) = 1
P(getting a red queen)
= No. of favourable outcomes/Total number of outcomes
= No. of red queens/Total cards remaining
= 1/33
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