Probability Question 427
Question: A basket contains 5 apples and 7 oranges and another basket contains 4 apples and 8 oranges. One fruit is picked out from each basket. Find the probability that the fruits are both apples or both oranges
[AMU 2002]
Options:
A) $ \frac{24}{144} $
B) $ \frac{56}{144} $
C) $ \frac{68}{144} $
D) $ \frac{76}{144} $
Correct Answer: D
Show Answer
Answer:
Solution:
Required probability $ =\frac{^{5}C_1{{\,}^{4}}C_1}{^{12}C_1^{12}C_1}+\frac{^{7}C_1{{\,}^{8}}C_1}{^{12}C_1{{\,}^{12}}C_1} $ $ =\frac{20+56}{144}=\frac{76}{144} $ .
BETA
