Question #d4ff9

1 Answer
Aug 10, 2015

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