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STD 11 - 14. probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 14. probability1 Mark
MCQ
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
  • A
    $\frac{1}{27}$
  • B
    $\frac{3}{4}$
  • ✓
    $\frac{1}{8}$
  • D
    $\frac{3}{8}$
✓

Answer

Correct option: C.
$\frac{1}{8}$
c
Required probability $=\left(\frac{2}{3} \times \frac{3}{4}\right)^{3}=\frac{1}{8}$

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