Probability Ques 59
The probability that an event $A$ happens in one trial of an experiment, is $0.4$ . Three independent trials of the experiments are performed. The probability that the event $A$ happens atleast once, is
$(1980,1 M)$
(a) $0.936$
(b) $0.784$
(c) $0.904$
(d) None of these
Show Answer
Answer:
Correct Answer: 59.(b)
Solution:
Formula:
- 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)
$=1-(0.6)(0.6)(0.6)=1-0.216=0.784$