A jar contains jellybeans. There are three red jellybeans, five blue jellybeans, and five green jellybeans. You randomly take two jellybeans out to eat. What is there probability that one jellybean is red and the other jellybean is green?
First, we need to calculate the total number of ways to choose 2 jellybeans from the jar, which is given by the combination formula:
Total ways = 13 choose 2 = 13! / (2! * (13-2)!) = 78
Next, we need to calculate the number of ways to choose one red jellybean and one green jellybean:
Number of ways = 3 choose 1 * 5 choose 1 = 3 * 5 = 15
Therefore, the probability of choosing one red jellybean and one green jellybean is:
Probability = Number of ways / Total ways = 15 / 78 = 5 / 26 ≈ 0.1923
So, the probability that one jellybean is red and the other jellybean is green is approximately 0.1923 or 19.23%.