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Joint Entrance Examination
Mathematics
Probability
Question 114
Question 114 of 417
Medium
MCQ
A fair die is thrown until 2 appears. Then the probability that 2 appears in an even number of throws, is
A
5
/
6
5/6
5/6
B
1
/
6
1/6
1/6
C
5
/
11
5/11
5/11
D
6
/
11
6/11
6/11
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Official solution
\[P(\text{even throw}) = \frac56\cdot\frac16+\left(\frac56\right)^3\frac16+\cdots = \frac{\frac{5}{36}}{1-\frac{25}{36}} = \frac{5}{11}\]
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