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
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.
To find the probability that at least one seed will germinate when three seeds are planted, we can find the probability that none of the seeds germinate and subtract it from 1.
The probability of a seed not germinating is 1 - (1/3) = 2/3.
So, the probability that none of the three seeds germinate is (2/3) * (2/3) * (2/3) = 8/27.
Therefore, the probability that at least one seed will germinate is 1 - 8/27 = 19/27.
Hence, the probability that at least one seed will germinate when three seeds are planted is 19/27.
To find the probability that at least one seed will germinate, we need to calculate the complement of the event that none of the seeds will germinate.
The probability that a seed does not germinate is 1 - (1/3), which simplifies to 2/3. Since the three seeds are planted independently, the probability that all three do not germinate is (2/3)^3, which is approximately 0.2963.
To find the probability that at least one of the seeds will germinate, we subtract the probability of none of the seeds germinating from 1. This gives us:
1 - 0.2963 = 0.7037
Therefore, the probability that at least one of the seeds will germinate is approximately 0.7037 or 70.37%.