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A bag contains 6 green balls and 4 yellow balls. What is the probability that two balls picked randomly are both of the same color?

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5 votes

Given:

The number of green balls is G = 6.

The numer of yellow balls is Y = 4.

Step-by-step explanation:

Determine the total number of balls.


\begin{gathered} T=6+4 \\ =10 \end{gathered}

Determine the probability for both selected balls to be green.


\begin{gathered} P(G)=(6)/(10)\cdot(5)/(9) \\ =(15)/(45) \end{gathered}

Determine the probability for selected balls to be yellow.


\begin{gathered} P(Y)=(4)/(10)\cdot(3)/(9) \\ =(6)/(45) \end{gathered}

Determine the probability for both selected balls to be of same colour.


\begin{gathered} P=P(G)+P(Y) \\ =(15)/(45)+(6)/(45) \\ =(21)/(45) \\ =(7)/(15) \end{gathered}

User Suzannah
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