The probability that a radar will detect an object in one cycle is p. The probability that the object will be detected in n cycles is

1 - p^{n}

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1 - (1 - p)^{n}

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p^{n}

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p (1 - p)^{n - 1}

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Solution

The correct option is C $p (1 - p)^{n - 1}$
the probability that the radar will detect an object in one cycle be $p$ .
now the object must be detected in $n$ cycles.
so the probability of detecting object in $n$ cycles $=$ $p ({1 - p)}^{n - 1}$ .
where probability of not detecting object is $1 - p$ .

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The probability that a radar will detect an object in one cycle is p. The probability that the object will be detected in n cycles is

The correct option is C p(1−p)n−1the probability that the radar will detect an object in one cycle be p.now the object must be detected in n cycles.so the probability of detecting object in n cycles = p(1−p)n−1.where probability of not detecting object is 1−p.