A question on probability
An experiment was being conducted. It was found that an event
can occur during the experiment with a probability of
. Three independent trials of the same experiment are again carried out. What is the probability that the event happened at least once?
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1 solution
It is given that P ( A ) = 0 . 4 . So, the probability that A doesn't occur is 1 − P ( A ) = 1 − 0 . 4 = 0 . 6 .
Three independent trails are performed. So, the probability for A to occur at least once is given by: 1 − 0 . 6 3 = 1 − 0 . 2 1 6 = 0 . 7 8 4