A jar contains jellybeans. There are six red jellybeans, six blue jellybeans, and five green jellybeans. You randomly take two jellybeans out to eat. What is the probability that one jellybean is red and the other jellybean is green
To find the probability that one jellybean is red and the other jellybean is green, we first need to calculate the total number of ways we can choose 2 jellybeans out of the total 17 jellybeans in the jar.
Total number of ways to choose 2 jellybeans out of 17 = ${17 \choose 2}$ = 136
Next, we need to calculate the number of ways we can choose 1 red jellybean and 1 green jellybean.
Number of ways to choose 1 red jellybean out of 6 = 6
Number of ways to choose 1 green jellybean out of 5 = 5
Total number of ways to choose 1 red jellybean and 1 green jellybean = 6 * 5 = 30
Therefore, the probability of picking 1 red jellybean and 1 green jellybean out of 2 randomly chosen jellybeans is:
30/136 = 15/68 ≈ 0.221
So, the probability is approximately 0.221 or 22.1%