Statistics and Probability: JEE Main 2021 Mathematics question

JEE Main 2021 · 25 Feb, Morning shift · Q4957

JEE Main 202125 Feb, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

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 :

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JEE Main 2021 Statistics and Probability Question with Solution (25 Feb Morning shift, Q4957) | JEE Arc

JEE Main 2021 · 25 Feb, Morning shift · Q4957

JEE Main 202125 Feb, Morning shiftMathematicsMediumStatistics and Probability258× since 2002

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 :