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There are 9 red marbles, 7 blue marbles, 5 yellow marbles, and 3 white marbles in a bag. You randomly pick one of the marbles from the bag. What is the probabilitythat the marble is not white?

Respuesta :

AS per given by the question,

There are given that 9 red marbles, 7 blue marbles, 5 yellow marbles and 3 white marbles.

Now,

The total numbers of marbles in a bag is;

[tex]9+7+5+3=24[/tex]

Then,

The probability of getting white marble is;

[tex]P=\frac{\text{ total no. of white marbles }}{\text{Total number of marble}}[/tex]

So,

[tex]\begin{gathered} P=\frac{\text{ 3 }}{24} \\ P=\frac{1}{8} \end{gathered}[/tex]

Now,

According to the question,

The probability that the marble is not white,

Then,

[tex]P(\text{Not white marbles)=1-P(white marbles)}[/tex]

So,

[tex]\begin{gathered} P(\text{Not white marbles)=1-P(white marbles)} \\ P(\text{Not white marbles)=1-}\frac{1}{8} \\ P(\text{Not white marbles)}=\frac{8-1}{8} \\ P(\text{Not white marbles)}=\frac{7}{8} \\ P(\text{Not white marbles)}=0.875 \end{gathered}[/tex]

Hence, the probability that getting not white marbles is 0.875.

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