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If a marble is randomly chosen from a bag thay contains exactly 8 red marbles, 6 blue marbles, and 6 white marbles, what is the probability that the marble will not be white?

Respuesta :

Answer: 7/10

Step-by-step explanation:

The probability of an event can be calculated as:

[tex]P(E)=\frac{n(F)}{n(T)}[/tex]

Where n(F) is favorable outcomes and n(T) is total possible outcomes.

The total number of marbles can be obtained as,

8 + 6 + 6 = 20

The probability of marble being white can be calculated as,

[tex]P(W)=\underline{\frac{6}{20}}[/tex]

Now, the probability of the marble not being white can be evaluated as,

[tex]\begin{aligned}P^{\prime}(W) &=1-\frac{6}{20} \\&=\frac{20-6}{20} \\&=\frac{14}{20} \\&=\frac{7}{10}\end{aligned}[/tex]

Therefore, the probability of the marble not being white is 7/10