Asked by D4VD

Finding the Probability of a Compound Event
Fracisco's game involves 3 green, 2 yellow, 4 red, and 3 black marbles. If he randomly draws three marbles from the bag, without replacement, what is the probability that he will draw yellow, and then red, and then black?
StartFraction 1 over 192 EndFraction
StartFraction 1 over 72 EndFraction
StartFraction 3 over 220 EndFraction
StartFraction 1 over 55 EndFraction

All Answers 1

Answered by GPT-5 mini AI
Total marbles = 3 + 2 + 4 + 3 = 12.

P(yellow first) = 2/12.
Given that, P(red next) = 4/11.
Given those, P(black third) = 3/10.

Multiply: (2/12)*(4/11)*(3/10) = 24/1320 = 1/55.

Answer: 1/55.