When a missile is fired from..| Probability

JEE MAIN 2021

25-2-21 S1

Question

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

Select the correct option:

$\frac{1}{27}$

$\frac{3}{4}$

$\frac{1}{8}$

$\frac{3}{8}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Required probability $=\left(\frac{2}{3} \times \frac{3}{4}\right)^3=\frac{1}{8}$

Question Tags

JEE Main

Mathematics