Probability Question 406
Question: A bag contains 5 brown and 4 white socks. A man pulls out two socks. The probability that these are of the same colour is
[UPSEAT 1999; MP PET 2000]
Options:
A) $ \frac{5}{108} $
B) $ \frac{18}{108} $
C) $ \frac{30}{108} $
D) $ \frac{48}{108} $
Correct Answer: D $ \therefore ,P $ (Both brown or white) $ =\frac{^{5}C_2+{{,}^{4}}C_2}{^{9}C_2}=\frac{16}{36}=\frac{48}{108} $ .
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Answer:
Solution:
Total socks $ =5+4=9 $ The number of ways to select $ 2 $ socks out of 9 = $ ^{9}C_2 $ If number of ways to select both brown socks $ ={{\,}^{5}}C_2 $ And number of ways to select both white socks $ ={{\,}^{4}}C_2 $
BETA
