Answer: Probability that a plant grows at a constant rate, given it is edible is given by [tex]\frac{35}{38}[/tex].
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
[tex]P(A)=\frac{4}{5}[/tex]
The probability that a plant grows at a constant rate and is edible is given by
[tex]P(A\cap B)=\frac{14}{19}[/tex]
We will use "Conditional probability ", i.e.
[tex]P(A\mid B)=\frac{P(A\cap B)}{P(A)}[/tex]
[tex]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}[/tex]
Hence, Probability that a plant grows at a constant rate, given it is edible is given by [tex]\frac{35}{38}[/tex].
