QJEEM21Mab859: JEE Main 2021 Mathematics - Class 12 JEEM21Mab859 Solution: When a missile is fired from a ship, the probability that it is …

Question

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When a missile is fired from a ship, the probability that it is intercepted is

{1 \over 3}

and the probability that the missile hits the target, given that it is not intercepted, is

{3 \over 4}

. If three missiles are fired independently from the ship, then the probability that all three hit the target, is :

Accepted Answer

Probability of not getting intercepted =

{2 \over 3}

When it is not intercepted, probability of missile hitting target =

{3 \over 4}

\therefore

So when such 3 missiles launched then P (all 3 hitting the target)

=

{\left( {{2 \over 3} \times {3 \over 4}} \right)}

\times

{\left( {{2 \over 3} \times {3 \over 4}} \right)}

\times

{\left( {{2 \over 3} \times {3 \over 4}} \right)}

= {1 \over 8}

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