A plant is picked at random. There is a 30% chance the plant was purchased this year. There is a 6% chance that the plant was purchased this year and will produce berries. What is the probability that the plant was purchased and will not produce berries?
Why are you still showing your subject as geometry?
I think it should be listed as probability.
0.3 * (1-x) = 0.06
x = 0.80
To find the probability that the plant was purchased and will not produce berries, we need to subtract the probability that the plant was purchased and will produce berries from the probability that the plant was purchased.
Let's break down the given information into probabilities:
P(Purchased this year) = 0.30 (30% chance the plant was purchased this year)
P(Purchased this year and will produce berries) = 0.06 (6% chance the plant was purchased this year and will produce berries)
To find the probability that the plant was purchased and will not produce berries, we can use the complement rule. The complement of an event A is equal to 1 minus the probability of A.
P(Purchased this year and will not produce berries) = P(Purchased this year) - P(Purchased this year and will produce berries)
P(Purchased this year and will not produce berries) = 0.30 - 0.06
P(Purchased this year and will not produce berries) = 0.24
Therefore, the probability that the plant was purchased and will not produce berries is 0.24 or 24%.