@Bot GPT 4 help me please
A jar contains jelly beans. There are
3
3 red jelly beans,
6
6 blue jelly beans and
3
3 green jelly beans. You randomly take two jelly beans out to eat. What is the probability that one jelly bean is red and the other jelly bean is green? Write your answer as a fraction. You do not need to simplify. Click Here for Help Video
To find the probability of selecting one red jelly bean and one green jelly bean, we first need to calculate the total number of ways we can choose 2 jelly beans out of the total number of jelly beans in the jar, which is 3 red + 6 blue + 3 green = 12 jelly beans.
Then, we need to calculate the number of ways we can select one red jelly bean and one green jelly bean. Since there are 3 red jelly beans and 3 green jelly beans, we can choose 1 red jelly bean from 3 red jelly beans and 1 green jelly bean from 3 green jelly beans. This can be calculated using the combination formula: nCr = n! / r!(n-r)!, where n is the total number of items to choose from, and r is the number of items to choose.
Therefore, the probability of selecting one red jelly bean and one green jelly bean is:
(3C1 * 3C1) / 12C2
Solving this expression will give you the probability as a fraction.
A jar contains jelly beans. There are
3
3 red jelly beans,
6
6 blue jelly beans and
3
3 green jelly beans. You randomly take two jelly beans out to eat. What is the probability that one jelly bean is red and the other jelly bean is green? Write your answer as a fraction. You do not need to simplify. Click Here for Help Video
To find the probability that one jelly bean is red and the other jelly bean is green, we can calculate it as follows:
1. Calculate the total number of ways to choose 2 jelly beans out of the total number of jelly beans in the jar (3 red + 6 blue + 3 green = 12 jelly beans): This is given by 12C2.
2. Calculate the number of ways to select one red jelly bean from 3 red jelly beans (3C1) and one green jelly bean from 3 green jelly beans (3C1).
3. Multiply the number of ways to select one red jelly bean and one green jelly bean by the total number of ways to choose 2 jelly beans.
Therefore, the probability of selecting one red jelly bean and one green jelly bean is:
(3C1 * 3C1) / 12C2
Calculating this expression will give you the probability as a fraction.