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These marbles are placed in a bag and twoof them are randomly drawn.What is the probability of drawing two pinkmarbles if the first one is placed back in thebag before the second draw?Give your answer as a ratio, reduced tosimplest terms.Hint: Multiply the probability of the 1st Event by theprobability of the 2nd Event to get your answer.

These marbles are placed in a bag and twoof them are randomly drawnWhat is the probability of drawing two pinkmarbles if the first one is placed back in thebag class=


Answer :

Let's begin by listing the information given us:

Yellow marble = 2

Pink marble = 3

Blue marble = 5

Total marble = 2 + 3 + 5 = 10

The probability of picking two pink marbles if the first one is placed back in the bag is given by:

[tex]\begin{gathered} P(pink_1)=\frac{No.Of.Pink}{Total}=\frac{3}{10} \\ P(pink_1)=\frac{3}{10} \\ \text{After placing the pink marble back, the proba}bility\text{ of picking Pink again is:} \\ P(pink_2)=\frac{No.Of.Pink}{Total}=\frac{3}{10}_{} \\ P(pink_2)=\frac{3}{10} \\ P(event)=P(pink_1)\times P(pink_2)=\frac{3}{10}\times\frac{3}{10}_{} \\ P(event)=\frac{9}{100}=9\colon100 \\ \\ \therefore P(event)9\colon100 \end{gathered}[/tex]

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