Question

Two flower seeds are randomly selected from a package that contains 6 seeds for red flowers and 12 seeds for white flowers. What is the probability that both seeds will result in red flowers?

Answer 1

The probability that both seeds will result in red flowers is 5/51.

Step-by-step explanation:

In order to find the probability that both seeds will result in red flowers, we need to determine the probability of selecting a red seed for each seed selected.

1. First, we calculate the probability of selecting a red seed for the first seed. There are a total of 6 red seeds and 18 seeds in total (6 red + 12 white), so the probability of selecting a red seed for the first seed is 6/18 = 1/3.
2. Next, we calculate the probability of selecting a red seed for the second seed. After selecting one seed, there are now 5 red seeds left out of 17 total seeds. Therefore, the probability of selecting a red seed for the second seed is 5/17.

To find the probability of both seeds resulting in red flowers, we multiply the probabilities together: (1/3) * (5/17) = 5/51.

Therefore, the probability that both seeds will result in red flowers is 5/51.