Probability of happening an event A in one trial is 0.4 . probability that event A happens at least

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14.Probability

easy

The probability of happening an event $A$ in one trial is $0.4$. The probability that the event $A$ happens at least once in three independent trials is

A

$0.94$

B

$0.78$

C

$0.90$

D

$0.22$

(IIT-1980)

Solution

(b) Here $P(A) = 0.4$ and $P(\bar A) = 0.6$

Probability that $A$ does not happen at all $ = {(0.6)^3}$

Thus required Probability $ = 1 – {(0.6)^3} = 0.784$.

Standard 11

Mathematics

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