Question

Sandra has a bag of animal cookies. The bag contains the cookies below. What is the probability that Sandra chooses a bear cookie first, eats it, and thenselects a lion cookie?9 lions5 elephants 3 tigers9 Bears 18/5218/5181/65081/676

Answer 1

The probability of choosing a bear first then a lion is 81/650

SOLUTION:

This is a permutation and probability problem

The total cookies are 26

The combination for the total cookies is 26 * (26-1) = 26*25

The permutation for choosing a bear then a lion is 9 * 9

The probability is the permutation of choosing the bear over the permutation in total combination for total cookies

`(9*9)/(26*25)=(81)/(650)`