Question

Two person a and b appear in an interview. The probability of a's selection is 1/5 and the probability of b's selection is 2/7. What is the probability that only one of them is selected?

Answer 1

Answer:

Step-by-step explanation:

hope its help u . .

Answer 2

The probability that only one them is selected is 13/35

Step-by-step explanation:

It has been given that

P(A) = 1/5

P(B)=2/7

Using the Law of complements

probability that a is not selected is given by

$P'(A)=1-P(A)\\\\=1-\frac{1}{5}\\\\=\frac{4}{5}$

And the probability that b is not selected is given by

$P'(B)=1-P(B)\\\\=1-\frac{2}{7}\\\\=\frac{5}{7}$

Now, the probability that only one them is selected is given by

$P(A)P'(B)+P'(A)P(B)\\\\=\frac{1}{5}\times\frac{5}{7}+\frac{4}{5}\times\frac{2}{7}\\\\=\frac{13}{35}$

#Learn More:

If a speaks the truth 60% of the times, b speaks the truth 50% of the times. What is the probability that at least one will tell the truth?

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