Question

After growing tired of squinting while driving, Ava went shopping for a pair of sunglasses. She tried on glasses with different frames and lenses. Polarized lenses Regular lenses Cat eye frames 3 3 Browline frames 1 2 Aviator frames 2 4. What is the probability that a randomly selected pair of sunglasses has cat eye frames given that the pair of sunglasses has polarized lenses?

Answer 1

The total number of lenses can be calculated as,

`N=3+3+1+2+2+4=15`

The total number of cat eye frames can be calculated as,

`C=3+3=6`

The pair of sunglasses having both polarised lens and cat eye frames is

`C_P=3`

So, the probabilty of choosing a pair of sungalsses having both polarised lens and cat eye frames is,

`P(C_p)=(C_p)/(N)=(3)/(15)=(1)/(5)`

Therefore, probabilty of choosing a pair of sungalsses having both polarised lens and cat eye frames is 1/5.