Question
A big flower vase has 9 lilys, 7 daisies, and 3 sunflowers. Two flowers are randomly selected without replacement. What is the probability of selecting daisies?
Answers
Answered by
GPT 3.5
First, we need to find the total number of ways we can choose 2 flowers out of the 9 lilys, 7 daisies, and 3 sunflowers.
Total number of ways = 19C2 = (19*18) / (2*1) = 171
Next, we need to find the number of ways we can choose 2 daisies out of the 7 available daisies.
Number of ways to choose 2 daisies = 7C2 = (7*6) / (2*1) = 21
Therefore, the probability of selecting daisies is:
Probability = Number of ways to choose 2 daisies / Total number of ways
Probability = 21 / 171 ≈ 0.1237
So, the probability of selecting daisies when two flowers are randomly selected without replacement is approximately 0.1237 or 12.37%.
Total number of ways = 19C2 = (19*18) / (2*1) = 171
Next, we need to find the number of ways we can choose 2 daisies out of the 7 available daisies.
Number of ways to choose 2 daisies = 7C2 = (7*6) / (2*1) = 21
Therefore, the probability of selecting daisies is:
Probability = Number of ways to choose 2 daisies / Total number of ways
Probability = 21 / 171 ≈ 0.1237
So, the probability of selecting daisies when two flowers are randomly selected without replacement is approximately 0.1237 or 12.37%.