The probability of hitting a target in any shot is 0.2. If 10 shots are fired, find the probability that the target will be hit at least twice.
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Answered by
7
a\q 0.2×10=2
so probability is 2/5
so probability is 2/5
Answered by
22
Answer:
1 - (0.8)⁹
Step-by-step explanation:
The probability of hitting a target in any shot is 0.2. If 10 shots are fired, find the probability that the target will be hit at least twice.
The probability of hitting a target in any shot is 0.2
The probability of not hitting a target in any shot is 1-0.2 = 0.8
probability that the target will be hit at least twice. = 1 - Hit once - Hit never
Probability of Hit once = 0.2 * (0.8)⁹
Probability of Hit Never = (0.8)¹⁰
probability that the target will be hit at least twice = 1 - 0.2 * (0.8)⁹ - (0.8)¹⁰
= 1 - (0.8)⁹(0.2 + 0.8)
= 1 - (0.8)⁹
= 0.865782272
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