Question

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

Answer 1

`P(R)=(3)/(10)`

Explanation:

We have the following probabilities:

`\begin{gathered} P(B)=10\text{\% } \\ P(G)=60\text{\% } \end{gathered}`

Fractionally it would be:

`\begin{gathered} P(B)=(1)/(10) \\ P(G)=(6)/(10) \end{gathered}`

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

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