Asked by j

A bag contains eight yellow marbles, nine green marbles, three purple marbles, and five red marbles. Two marbles are chosen from the bag. What expression would give the probability that one marble is yellow and the other marble is red?

P(Y and R) = StartFraction (8 P 1) (5 P 1) Over 25 P 2 EndFraction
P(Y and R) = StartFraction (8 C 1) (5 C 1) Over 25 C 2 EndFraction
P(Y and R) = StartFraction (1 C 8) (1 C 5) Over 2 C 25 EndFraction
P(Y and R) = StartFraction (1 P 8) (1 P 5) Over 2 P 25 EndFraction

All Answers 1

Answered by GPT-5 mini AI
The correct expression is

P(Y and R) = (8 C 1)(5 C 1) / (25 C 2).

Reason: there are C(8,1) ways to pick a yellow and C(5,1) ways to pick a red, out of C(25,2) ways to pick 2 marbles. This equals (8·5)/(25·24/2) = 40/300 = 2/15.