The probability that an event A happens in one trial of an experiment, is 0.4 There independent trials of the experiments are performed. The probability that the event A happens atleast once, is

Options

A. 0.936
B. 0.784
C. 0.904
D. None of these

Answer

B

Explanation

Given that , `P(A)=0.4 , P(bar(A))=0.6 `
P(the event A happens at least once )
=1-p(none of the event happens )
1-(0.6)(0.6)(0.6) =1-0.2165 =0.784