Question

the probability of an event happening in one trial of an experiment is 0.6. three independent trials are made. what is the probability that the event happens atleast once is?

Answer 1

Probability for 1 trial = 0.6
Therefore the probability that the event happens at least once is = 1 - 0.6 which is equal to 0.4

Answer 2

The probability of the event happens atleast once is 0.936 when three trials are made where probability of an event for one trial is 0.6

Step-by-step explanation:

Given Data

The probability of getting an event in one trial of an experiment P(A) = 0.6

Total trials made = 3

To find the probability if the event happens atleast once P(E)

P(A) = 0.6

P(A) + P(A' ) = 1

P(A' ) = 1 - P(A)

P(A' ) = 1 - 0.6

P(A' ) = 0.4

P(E) + P(E' ) = 1

To find P(E') we have to find P(E)

$P(E) = P(A')^\text{{number of trials made}}$

$P(E) = 0.4^\text{3}$

P(E) = 0.4 × 0.4 × 0.4

P(E) = 0.064

P(E') = 1 - P(E)

P(E') = 1 - 0.064

P(E') = 0.936

Therefore the probability of the event happens atleast once is 0.936 when the probability of an event for one trial is 0.6 where three trials are made.

To Learn More ...

1) The probability that Ramesh wins a match is 0.48. Find the probability that Ramesh does not win the match

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2)The probability of an event A is 1/3 what is the probability of complement of A

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