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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Probability

NDA 2021 · Mathematics · Probability

In a cricket match, a batsman hits a six 8 times out of 60 balls he...

In a cricket match, a batsman hits a six 8 times out of 60 balls he plays. What is the probability that on a ball played he does not hit a six?

Options

  1. A23\frac{2}{3}
  2. B115\frac{1}{15}
  3. C215\frac{2}{15}
  4. D1315\frac{13}{15}

Correct answer

D. 1315\frac{13}{15}

Step-by-step solution

Let probability of hitting P(H)=860P(H′)=1−860=5260=1315P(H)=\frac{8}{60}\mathrm{P}\left(\mathrm{H}^{\prime}\right)=1-\frac{8}{60}=\frac{52}{60}=\frac{13}{15}
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