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Mathematics · 2021

JEE Main · 25 February 2021, Shift 1 · Q75

When a missile is fired from a ship, the probability that it is intercepted is 1/3 and the probability that the missile hits the target, given that…

When a missile is fired from a ship, the probability that it is intercepted is $\displaystyle \frac{1}{3}$ and the probability that the missile hits the target, given that it is not intercepted, is $\displaystyle \frac{3}{4}$. If three missiles are fired independently from the ship, then the probability that all three hit the target, is :
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