Probability Question 194
Question: A man make attempts to hit the target. The probability of hitting the target is $ \frac{3}{5}. $ Then the probability that A hit the target exactly 2 times in 5 attempts, is
Options:
A) $ \frac{144}{625} $
B) $ \frac{72}{3125} $
C) $ \frac{216}{625} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
Probability of success $ (p)=\frac{3}{5}\Rightarrow q=1-p=\frac{2}{5} $
Hence the probability of 2 hits in 5 attempts $ ={}^{5}C_2{{( \frac{3}{5} )}^{2}}{{( \frac{2}{5} )}^{3}}=\frac{144}{625}. $
BETA
