the probability of a seed germinates is 1/3. If three of the seed are planted, what is the probability that only one will germinate

Answer 1

To find the probability that only one seed will germinate out of the three planted, we need to consider the possible outcomes.

There are three possible outcomes for each seed: germinate (G) with a probability of 1/3, or not germinate (NG) with a probability of 2/3.

To calculate the probability that only one seed will germinate, we need to calculate the probability of the desired outcome, which is one germinating seed, and multiply by the probability of the other two seeds not germinating.

The probability that one seed germinates and the other two do not is calculated as follows:

Probability = (1/3) * (2/3) * (2/3)

= 2/27

Therefore, the probability that only one seed will germinate out of the three planted is 2/27.