Mary Katherine has a bag of 3 red apples, 5 yellow apples and 4 green apples. Mary takes a red apple out of the bag and does not replace it. What is the probability that the next apple she takes out is yellow?
5/11?
3 red 5 yellow and 4 green.
1 red picked, leaves:
2 red 5 yellow and 4 green total 11 apples.
What would be the probability of picking a yellow out of the remaining 11, of which 5 are yellow?
To find the probability that the next apple Mary takes out is yellow, we need to know the total number of apples left in the bag after she takes out the red apple.
1. Calculate the total number of apples in the bag: 3 red apples + 5 yellow apples + 4 green apples = 12 apples.
2. After Mary takes out a red apple, there are 11 apples left in the bag (since she does not replace it).
3. Calculate the number of yellow apples left in the bag: 5 yellow apples.
4. Divide the number of yellow apples left by the total number of apples left to find the probability: 5 yellow apples / 11 total apples = 5/11.
Therefore, the probability that the next apple Mary takes out of the bag is yellow is 5/11 or approximately 0.4545.
To find the probability, we need to determine the total number of possible outcomes and the number of favorable outcomes.
First, let's find the total number of apples in the bag. There are 3 red apples, 5 yellow apples, and 4 green apples, so the total number of apples is 3 + 5 + 4 = 12.
Since Mary took out a red apple and did not replace it, there are now 11 apples remaining in the bag. Out of these 11 apples, there are still 5 yellow apples. Therefore, the number of favorable outcomes (taking out a yellow apple) is 5.
Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 5 / 11
So, the probability that the next apple Mary takes out is yellow is 5/11 or approximately 0.4545 (rounded to four decimal places).