Statistics And Probability Question 462
Question: A dice is thrown ten times. If getting even number is considered as a success, then the probability of four successes is
Options:
A) $ ^{10}C_4{{( \frac{1}{2} )}^{4}} $
B) $ ^{10}C_4{{( \frac{1}{2} )}^{6}} $
C) $ ^{10}C_4{{( \frac{1}{2} )}^{8}} $
D) $ ^{10}C_6{{( \frac{1}{2} )}^{10}} $
Show Answer
Answer:
Correct Answer: D
Solution:
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Required probability $ ={}^{10}C_4{{( \frac{1}{2} )}^{4}}{{( \frac{1}{2} )}^{6}}={}^{10}C_4{{( \frac{1}{2} )}^{10}} $ $ ={}^{10}C_6{{( \frac{1}{2} )}^{10}}. $