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:

Binomial distribution:

  1. 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)

$=1-(0.6)(0.6)(0.6)=1-0.216=0.784$



Table of Contents