Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

Two aeroplanes I and II bomb a target in succession. The probabilities of I and II scoring a hit correctly are 0.3 and 0.2 respectively. The second plane will bomb only if the first misses the target. The probability that the target is hit by second plane is

Options:

0.2

0.7

0.06

0.14

Correct Answer:

0.14

Explanation:

Let $A_i (i=1, 2)$ denote the event that ith plane hits the target.

Clearly, $A_1$ and $A_2$ are independent events.

Required probability $=P(\overline{A_1} ∩ A_2)$

$= P(\overline{A_1}) P(A_2) = 1(1-0.3) ×0.2 = 0.14$