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 $\frac{35}{38}$.

Step-by-step 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

$P(A)=\frac{4}{5}$

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

$P(A\cap B)=\frac{14}{19}$

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

$P(A\mid B)=\frac{P(A\cap B)}{P(A)}$

$P(A\mid B)=\frac{\frac{14}{19}}{\frac{4}{5}}\\\\P(A\mid B)=\frac{14\times 5}{19\times 4}\\\\P(A\mid B)=\frac{70}{76}\\\\P(A\mid B)=\frac{35}{38}$

Hence, Probability that a plant grows at a constant rate, given it is edible is given by $\frac{35}{38}$.