Respuesta :
Given:
A bag contains 8 black marbles, 16 white marbles, 14 red marbles, and 10 green marbles.
Required:
We need to find the probability that the marble is drawn will not be white.
Explanation:
Let A be the event of marble is drawn will not be white.
The total number of marbles in the bag = 8+16+14+10 = 48 marbles.
The total possible outcomes = The total number of marbles in the bag.
The total possible outcomes = 48.
[tex]n(S)=48[/tex]The favourable outcomes of not getting white = the number of marbles which are not white.
The favourable outcomes of not getting white =8+14+10 = 32.
[tex]n(A)=32[/tex]The probability that the marble is drawn will not be white is P(A).
[tex]P(A)=\frac{n(A)}{n(S)}[/tex]Substitute n(A)=32 and n(S)=48 in the equation.
[tex]P(A)=\frac{32}{48}=\frac{4}{6}=\frac{2}{3}[/tex]Final answer:
The probability that the marble is drawn will not be white is 2/3.
