If a certain missile will hit the target one out of four times and four such missiles are fired at the same angle, then what is the probability that the target will be hit atleast once -

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51/256

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175/256

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Solution

The correct option is C 175/256
Probability that missile hits the target = $\frac{1}{4}$
Probability that the missile misses the target = 1- $\frac{1}{4}$ = $\frac{3}{4}$
Probability that at least one of the missile hits the target = 1- none of the missiie hits
= $1 - {(\frac{3}{4})}^{4}$
= $\frac{175}{256}$

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If a certain missile will hit the target one out of four times and four such missiles are fired at the same angle, then what is the probability that the target will be hit atleast once -

The correct option is C 175/256Probability that missile hits the target = 14Probability that the missile misses the target = 1- 14 = 34Probability that at least one of the missile hits the target = 1- none of the missiie hits= 1−(34)4= 175256