Question

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?

Answer 1

Answer:

Hence, the probability is:

$\dfrac{1}{25}$

Step-by-step explanation:

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:

$P(Choosing\ Blue\ in\ both\ draw)=P(Blue)\times P(Blue)\\\\P(Choosing\ Blue\ in\ both\ draw)=\dfrac{5}{25}\times \dfrac{5}{25}\\\\P(Choosing\ Blue\ in\ both\ draw)=\dfrac{1}{25}$