Question

Question #d4ff9

Answer 1

`P(x = 0) = 0.09`

Explanation:

He has to miss in all the three attempts.

1st attempt
Probability of hitting the target : `P_1= 0.7`
Probability of not hitting the target : `p_1 = 1 - 0.7 = 0.3`

2nd attempt
Probability of hitting the target : `P_2= 0.5`
Probability of not hitting the target : `p_2 = 1 - 0.5 = 0.5`

3rd attempt
Probability of hitting the target : `P_3 = 0.4`
Probability of not hitting the target: `p_3 = 1 - 0.4 = 0.6`

It is a compound event

`P(x = 0) = p_1 xx p_2 xx p_3 = 0.3 xx 0.5 xx 0.6 = 0.09`