Question
The probability of a seed germinated is 1/3.if 3 of the seeds are planted what is the probability that at least one will germinate
Answers
GPT 3.5
To find the probability that at least one seed will germinate, we can find the probability that none of the seeds will germinate and subtract it from 1.
Since the probability of a seed germinating is 1/3, the probability that a seed does not germinate is 1 - 1/3 = 2/3.
Therefore, the probability that none of the three seeds will germinate is (2/3)^3 = 8/27.
So, the probability that at least one seed will germinate is 1 - 8/27 = 19/27.
Since the probability of a seed germinating is 1/3, the probability that a seed does not germinate is 1 - 1/3 = 2/3.
Therefore, the probability that none of the three seeds will germinate is (2/3)^3 = 8/27.
So, the probability that at least one seed will germinate is 1 - 8/27 = 19/27.