Enter your answers as fractions or decimals rounded to three decimal places.

Question

A bag contains 5 red marbles, 9 white marbles, and 6 blue marbles. Randomly choose two marbles, one at a time, and without replacement. Find the following. Enter your answers as fractions or decimals rounded to three decimal places.

The probability that the first marble is red and the second is blue

P(first red and second blue) =

Answer 1

5R 9W 6B

Probability the 1st random choice is Red = 5/(5+9+6) = 5/20 = 1/4

Probability the 2nd random choice, without replacement, is Blue = 6/19

Probability 1st is R and 2nd is B

= (1/4)(6/19)

= 3/38

= about 0.078947

= about 7.895%