Question

Eleven letters spelling "probability" are placed in a bag. You pick one, replace it, and then pick another. What is the probability of picking a P and then a I?

Answer 1

It is 2/121.

Explanation:

For the first draw, the probability of picking P is 1/11 since there is only one P letter in the 11 letters. If we replace the P after drawing, then for the second draw, the probability of drawing I is 2/11 since there are 2 I's in the 11 letters.

Since the events are seperate, the probability of picking P and then picking I is (1/11)x(2/11) = 2/121.

I hope this answer helps.