A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?

Sagot :

The probability that one is selected is the likelihood

The probability that one is selected at least once is 0.704

How to calculate the probability?

The sample space is given as:

S = {1,2,3}

The probability that 1 is not selected at all is:

P'(None) = 2/3

The probability that one is selected at least once is calculated using the following complement rule

P(At least once)  = 1 - P(None)^3

This gives

P(At least once) = 1 -(2/3)^3

Evaluate

P(At least once) = 0.704

Hence, the probability that one is selected at least once is 0.704

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