To find the probability of selecting two carnations, we first find the total number of ways to choose 2 flowers out of 18 (5 begonias + 6 carnations + 7 tulips). This can be calculated using combinations:
Total number of ways to choose 2 flowers out of 18 = 18C2 = 153
Next, we find the number of ways to choose 2 carnations out of 6:
Number of ways to choose 2 carnations out of 6 = 6C2 = 15
Therefore, the probability of selecting two carnations is:
Probability = Number of ways to choose 2 carnations / Total number of ways to choose 2 flowers
Probability = 15 / 153
The probability of selecting two carnations is 15/153, which simplifies to 5/51.
Probability Unit Test
13 of 1513 of 15 Items
QuestionA big flower vase has 5 begonias, 6 carnations, and 7 tulips. Two flowers are randomly selected without replacement. What is the probability of selecting two carnations? Express the answer in the simplest form of fraction.
1 answer