Question

There are 10 10 balls total of which 2 2 balls are purple. ​Leslie picks a ball at random, puts it back and picks a second ball at random. ​Find the probability of first picking a purple ball and then again a purple ball on the second draw.

Answer 1

Answer: 1/25

Explanation:

Number of balls = 10

Number of purple balls = 2

Since it's probability with replacement,

Probability of picking a purple ball the first time = 2/10 = 1/5

Probability of picking a purple ball the second time = 2/10 = 1/5

Therefore, the probability of picking a purple ball both times will be:

= 1/5 × 1/5

= 1/25