Question

You have 5 Red Marbles, 4 Green Marbles, and 3 Blue Marbles in a Bowl.  You randomly pick 4 marbles from the bowl (without replacing any marbles into the bowl).  You carry the 4 marbles into another room.  What is the probability you chose EXACTLY 2 Red, 1 Green, and 1 Blue IN ANY ORDER.  Also if this could be done on excel that would be so awesome!

Answer 1

Probability that we choose EXACTLY 2 Red, 1 Green, and 1 Blue IN ANY ORDER is computed here as:

= Number of ways to choose 2 red marbles from 5 red marbles * Numberof ways to choose 1 green marble from 4 green marbles * Number of ways to choose 1 blue marble from 3 blue marbles / Total ways to choose 4 marbles from 12 marbles

Therefore 0.0242 is the required probability here.

For EXCEL, the above computatins could be made in EXCEL using the cobinations formula

For example for (5c2), we can compute it as: = COMBIN(5,2)