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Question

The probability that and event A happens in one trial of an experiment is 0.4.Three independent trials of the experiment are performed.The probability that the event A happens at least once is

A
0.936
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B
0.784
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C
0.904
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D
none of these
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Solution

The correct option is B 0.784
probability that an event happens in one trial of an experiment =0.4
Probability of that event not happening in one trial =10.4=0.6
Three independent trials of the experiment are performed.

probability that the event happens at least once in three trails
= 1 - Probability of that event not happening in all three trials

=1(0.6)×(0.6)×(0.6)
=10.216
=0.784

Hence, option B is correct.



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