Statistics And Probability Question 493
Question: A dice is thrown 5 times, then the probability that an even number will come up exactly 3 times is
Options:
A) $ \frac{5}{16} $
B) $ \frac{1}{2} $
C) $ \frac{3}{16} $
D) $ \frac{3}{2} $
Show Answer
Answer:
Correct Answer: A
Solution:
-
By Binomial theorem, $ P={}^{5}C_3\times {{( \frac{1}{2} )}^{3}}{{( \frac{1}{2} )}^{2}}\Rightarrow P=\frac{5}{16}. $