JEE Mains · Maths · STD 12 - 13. probability
An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number \(2\) times is equal to the probability of getting an even number \(3\) times, then the probability of getting an odd number for odd number of times is
- A \(\frac{1}{32}\)
- B \(\frac{5}{16}\)
- C \(\frac{3}{16}\)
- D \(\frac{1}{2}\)
Answer & Solution
Correct Answer
(D) \(\frac{1}{2}\)
Step-by-step Solution
Detailed explanation
\({ }^{n} C_{2}\left(\frac{1}{2}\right)^{n}={ }^{n} C_{3}\left(\frac{1}{2}\right)^{n} \Rightarrow{ }^{n} C_{2}={ }^{n} C_{3}\) \(\Rightarrow n =5\) Probability of getting an odd number for odd number of times is…
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