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

Answer:

The probability that the button is not white is 0.583

Step-by-step 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,

$P(A)=\dfrac{|\ A\ |}{|\ S\ |}=\dfrac{50}{120}$

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

$P(A^c)=1-P(A)=1-\dfrac{50}{120}=\dfrac{70}{120}=\dfrac{7}{12}=0.583$