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A bag contains 30 marbles of the same size that are blue, green, and red. The probability of picking a blue marble is 10%. The probability of picking a green marble is 60%. Determine the simplified probability of picking a red marble from the bag as a fractiony

Sagot :

ANSWER:

[tex]P(R)=\frac{3}{10}[/tex]

STEP-BY-STEP EXPLANATION:

We have the following probabilities:

[tex]\begin{gathered} P(B)=10\text{\% } \\ P(G)=60\text{\% } \end{gathered}[/tex]

Fractionally it would be:

[tex]\begin{gathered} P(B)=\frac{1}{10} \\ P(G)=\frac{6}{10} \end{gathered}[/tex]

Now we know that the sum of all the probabilities must be one, therefore

[tex]\begin{gathered} 1=P(G)+P(B)+P(R) \\ \text{replacing:} \\ P(R)=1-P(G)-P(B) \\ P(R)=1-\frac{1}{10}-\frac{6}{10} \\ P(R)=\frac{10}{10}-\frac{1}{10}-\frac{6}{10} \\ P(R)=\frac{3}{10} \end{gathered}[/tex]

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