Question

The probability that a plant is edible is 4/5 and the probability that a plant grows at a constant rate and is edible is 14/19. What is the probability that a plant grows at a constant rate, given it is edible

Answer 1

Answer: Probability that a plant grows at a constant rate, given it is edible is given by
`(35)/(38)`.

Explanation:

Let B be an event that getting a plant grows at a constant rate.

Since we have given that

The probability that a plant is edible is given by

`P(A)=(4)/(5)`

The probability that a plant grows at a constant rate and is edible is given by

`P(A\cap B)=(14)/(19)`

We will use "Conditional probability ", i.e.

`P(A\mid B)=(P(A\cap B))/(P(A))`

`P(A\mid B)=((14)/(19))/((4)/(5))\\\\P(A\mid B)=(14* 5)/(19* 4)\\\\P(A\mid B)=(70)/(76)\\\\P(A\mid B)=(35)/(38)`

Hence, Probability that a plant grows at a constant rate, given it is edible is given by
`(35)/(38)`.