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,
[tex]|\ S\ |=120[/tex]
Let us assume that, A be the event of picking white buttons, so
[tex]|\ A\ |=50[/tex]
So the probability of picking white button is,
[tex]P(A)=\dfrac{|\ A\ |}{|\ S\ |}=\dfrac{50}{120}[/tex]
Then the event [tex]A^c[/tex] will be not picking up white buttons, so the probability of not picking up white buttons is,
[tex]P(A^c)=1-P(A)=1-\dfrac{50}{120}=\dfrac{70}{120}=\dfrac{7}{12}=0.583[/tex]
