The probability that a plant from a certain packet of wallflowers will product red flowers is 2/5. Fins the probability that
1.Tow plants from this packet are both red
To find the probability that two plants from the packet are both red, we need to multiply the probabilities together.
Let's call the probability of a plant producing red flowers P(red).
Given that the probability of a plant producing red flowers is 2/5, we can say P(red) = 2/5.
To find the probability that both plants are red, we multiply the probabilities:
P(both red) = P(red) * P(red)
P(both red) = (2/5) * (2/5)
P(both red) = 4/25
Therefore, the probability that two plants from this packet are both red is 4/25.
To find the probability that two plants from the packet are both red, we need to multiply the probability of the first plant being red by the probability of the second plant being red given that the first plant is red.
Given that the probability of a plant being red is 2/5, the probability of the first plant being red is 2/5.
Since we are selecting two plants without replacement, the probability of the second plant being red given that the first plant is red is now 1 less than the total number of red flowers divided by 1 less than the total number of flowers. Therefore, the probability of the second plant being red given that the first plant is red is (2-1)/(5-1) = 1/4.
To find the probability that both plants are red, we multiply the probabilities of each plant being red:
(2/5) * (1/4) = 2/20 = 1/10
Therefore, the probability that two plants from this packet are both red is 1/10.