Question

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.

Answer 1

P(picking 2 pink marbles) = 9/100

Step-by-step explanation:

Given the following data

Number of yellow marbles = 2

Number of pink marbles = 3

Number of blue marbles = 5

The total number of marbles in the bag = 2 + 3 + 5

The total number of marbles in the bag = 10

The probability of a picking a pink marble at first

Probability = Possible out comes / total outcomes

P(picking a pink) = 3 / 10

Since the first pink marble is replaced, then the number of pink marbles remain 3

Probability of picking the second pink marble = 3/10

P(picking 2 pink) = 3/10 x 3/10

P(picking 2 pink) = 9/100

Therefore, the probability of drawing two pinks is 9/100