About 12 % of the population of a large country is math phobic. If two people are randomly selected, what is the probability both are math phobic ? What is the probability at least one is math phobic ?

a)

The probability both are math phobic: 0.0144 or 1.44%

b)

The probability that atleast one is math phobic is: 0.2256 or 22.56%

Step-by-step explanation:

It is given that:

About 12 % of the population of a large country is math phobic.

This means that the probability that a randomly selected person is math phobic is: 0.12

If two people are randomly selected.

a)

The probability both are math phobic:

This means that the first person selected is math phobic and the second person selected is also math phobic.

= 0.12*0.12

= 0.0144

which in percent is: 1.44%

b)

The probability that atleast one is math phobic is:

1-none is math phobic.

= 1 - (1-0.12) * (1-0.12)

=1 - 0.88*0.88

= 0.2256

which in percent is: 22.56%