Statistics And Probability Question 378
Question: If three dice are thrown together, then the probability of getting 5 on at least one of them is
Options:
A) $ \frac{125}{216} $
B) $ \frac{215}{216} $
C) $ \frac{1}{216} $
D) $ \frac{91}{216} $
Show Answer
Answer:
Correct Answer: D
Solution:
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Required probability $ ={}^{3}C_1( \frac{1}{6} ){{( \frac{5}{6} )}^{2}}+{}^{3}C_2{{( \frac{1}{6} )}^{2}}( \frac{5}{6} )+{}^{3}C_3{{( \frac{1}{6} )}^{3}}{{( \frac{5}{6} )}^{0}}=\frac{91}{216}. $
BETA
