Question

In the book Chances: risk and odds in Everyday Life, author James Burke says that approximately 57% of the general US population wears glasses or contacts. If two people are chosen at random from the US population, what is the probability that both wear glasses or contacts?

Answer 1

`Pr = 32.49\%`

Explanation:

Given

Let E represents the event of wearing glasses or contacts.

So;

`P(E) =57\%`

Required

The probability that selected 2 wears glasses

This is calculated as:

`Pr = P(E)\ and\ P(E)`

`Pr = P(E)\ *\ P(E)`

`Pr = 57\% * 57\%`

`Pr = 0.57 * 0.57`

`Pr = 0.3249`

`Pr = 32.49\%`