Question

A, B and C shoot to hit a target. If A hits the target 4 times in 5 trials, B hits it 3 times in 4 trials and C hits it 2 times in 3 trials. What is the probability that the target is hit by at least two persons?
A) 5/6 B)3/4 C)4/5 D)1/9

Answer 1

Answer:

Step-by-step explanation:

Given :-

A, B and C shoot to hit a target. If A hits the target 4 times in 5 trials, B hits it 3 times in 4 trials and C hits it 2 times in 3 trials.

To Find :-

Probability that the target is hit by at least two persons.

Solution :-

P (Target is hit by at least two persons)

P (Two person hit the target + All three hit the target)

$\sf=\frac{26}{60} +\frac{4}{5} +\frac{3}{4} +\frac{2}{3}$

$\sf =\frac{26}{60} +\frac{24}{60}$

$\sf=\frac{50}{60}$

$\bf=\frac{5}{6}$

Hence, Option A) 5/6 is correct.