Probability 5 Question 6
6. If the probability of hitting a target by a shooter in any shot, is , then the minimum number of independent shots at the target required by him so that the probability of hitting the target at least once is greater than , is
(2019 Main, 10 Jan II)
(a) 6
(b) 3
(c) 5
(d) 4
Show Answer
Answer:
Correct Answer: 6. (c)
Solution:
- The probability of hitting a target at least once
probability of not hitting the target in any trial)
where
[by using binomial distribution]
Here,
According to the question,
Clearly, minimum value of