What is the probability of meeting at least one person with the flu in 12 random encounters on campus when the infection rate is 3% (3 in 100 people have the flu)

Answer-

The probability of meeting at least one person with the flu in 12 is 0.3062 or 30.62%

Solution-

The probability of k successes in n trials where p is the probability of success on any given trial is given by,

Here, 3 people out of 100 have the flu, so

As there are total 12 number of people, so

And

The probability selecting 0 number of person with the flu out of 12 is,

So, the probability of meeting at least one person with the flu in 12 is,

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step-by-step explanation: