Question

a jar contains 30 red, 40 blue, and 50 white buttons. you pick one button at random, find the probability that is not white

Answer 1

The probability that the button is not white is 0.583

Explanation:

The jar contains 30 red, 40 blue, and 50 white buttons.

In total there are 120 buttons in the jar. So,

`|\ S\ |=120`

Let us assume that, A be the event of picking white buttons, so

`|\ A\ |=50`

So the probability of picking white button is,

`P(A)=(|\ A\ |)/(|\ S\ |)=(50)/(120)`

Then the event
`A^c` will be not picking up white buttons, so the probability of not picking up white buttons is,

`P(A^c)=1-P(A)=1-(50)/(120)=(70)/(120)=(7)/(12)=0.583`