AP EAMCET · Maths · Probability
A man is known to speak truth 7 out of 10 times. After throwing a die with 100 faces marked 1,2,3,.., 100 on it's faces, the man reports that he got a prime number on the die. What is the probability that it is actually a prime?
- A \(\frac{5}{16}\)
- B \(\frac{7}{16}\)
- C \(\frac{11}{16}\)
- D \(\frac{10}{16}\)
Answer & Solution
Correct Answer
(B) \(\frac{7}{16}\)
Step-by-step Solution
Detailed explanation
Consider the events \(A=\) Probability that prime number occur \(B=\) Probability that prime number does not occur \(E=\) prime number occur when man reports 25 prime number from 1 to 100 \(\therefore \quad P(A)=\frac{25}{100}=\frac{1}{4}\) \(P(B)=\frac{75}{100}=\frac{3}{4}\)…
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