Probability Question 86
Question: The probability that the three cards drawn from a pack of 52 cards are all red is
[MP PET 1999]
Options:
A) $ \frac{1}{17} $
B) $ \frac{3}{19} $
C) $ \frac{2}{19} $
D) $ \frac{2}{17} $
Show Answer
Answer:
Correct Answer: D
Solution:
3 cards are drawn out of 26 red cards (favourable) $ =\frac{{}^{26}C_3}{{}^{52}C_3}=\frac{26!}{3!23!}\times \frac{3!49!}{52!}=\frac{2}{17}. $
BETA
