Probability Question 292
Question: Two dice are thrown n times in succession. The probability of obtaining a double - six at least once is
Options:
A) $ {{( \frac{1}{36} )}^{n}} $
B) $ 1-{{( \frac{35}{36} )}^{n}} $
C) $ {{( \frac{1}{12} )}^{n}} $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
The probability of getting a double - six in one throw $ =\frac{1}{36} $
The probability of not getting a double - six in One throw $ =1-\frac{1}{36}=\frac{35}{36} $
So the probability of not getting a double-six in n throw $ ={{( \frac{35}{36} )}^{n}} $
$ \therefore $ Probability of obtaining a double - six at least once $ =1-{{( \frac{35}{36} )}^{n}} $
BETA
