A bag contains 5 red checkers and 9 black checkers. A checker is selected, kept out of the bag, and then another checker is selected. What is P (black, then red) ?

P (Black then Red) = 0.24725

Step-by-step explanation:

Given:-

- Red Checkers = 5

- Black Checkers = 9

Find:-

A checker is selected, kept out of the bag, and then another checker is selected. What is P (black, then red) ?

Solution:-

- We will utilize the fundamental counting principle. A bag contains a total of (5 + 9) = 14 checkers in total.

- We will draw two checkers one at a time without replacement.

First Draw: Black = 9 possible outcomes

P (Black) = 9 / 14

Second Draw: Red = 5 possible outcomes

P (Red) = 5 / 13

- The required probability P (black, then red) for dependent events is given as:

P (Black then Red) = P (Black first draw) * P (Red second draw)

= (9 / 14) * (5 / 13)

= 0.24725