Question

The probability that an event $A$ occurs in a single trial of an experiment is $0.6$. In the first three independent trials of the experiment, the probability that $A$ occurs at least once is

• A. $0.930$
• B. $0.936$
• C. $0.925$
• D. $0.927$

Answer 1

The correct option is B $0.936$

Here, $p=0.6$ and $q=0.4$
The probability that $A$ occurs at least once is
$1-{}^3{C}_0\left(0.6{)}^0\right(0.4{)}^3=1-0.064=0.936$