The number of chips of different colors in Vicky's bag is shown below: 5 blue chips
11 pink chips
9 white chips
Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? (5 points)

5 over 25 multiplied by 5 over 25 equals 25 over 625
5 over 25 multiplied by 5 over 25 equals 25 over 625
5 over 25 multiplied by 4 over 24 equals 20 over 600
5 over 25 plus 4 over 24 equals 220 over 600

P( blue on first draw) =  5/25

P( blue on second draw) = 5/25

These events are independent so the probabilities are multiplied

answer is 5/25 * 5/25   = 25/625  = 1/25

The first choice is correct

Step-by-step explanation:

Hence, the probability is:

The number of chips of different colors in Vicky's bag is shown below:

5 blue chips   11 pink chips       9 white chips.

The total number of chips in Vicky's bag are: 25

( since, 5+11+9=25 chips)

Also,

the choosing of the chip is done on the basis of replacement.

This means when one chip is drawn it is put back into the bag and then the other chip is drawn.

Let P denote the probability of an event.

This means that:

P(Blue)=5/25

( Since there are 5 blue chips out of 25 chips)

As the drawing of chip in first draw is independent of the second draw.

Hence, the probability that Vicky takes out a blue chip in both draws is calculated as: