A weather forecast predicts a 25% probability of thunderstorms for tomorrow and a 10% probability of thunderstorms and hail. What is the probability that there is hail tomorrow given that there are thunderstorms?

Respuesta :

Answer:

[tex]P(B | A)=0.4=40\%[/tex]

Step-by-step explanation:

Call A to the event in which there are electrical storms.

Call B the event in which there is hail.

Then, by definition.

The Probability of B given A is:

[tex]P(B | A)=\frac{P(B\ and\ A)}{P(A)}[/tex]

We know that:

[tex]P(B\ and\ A)= 10\%=0.1\\\\P(A) = 25\%=0.25[/tex]

Therefore

[tex]P(B | A)=\frac{0.1}{0.25}[/tex]

[tex]P(B | A)=0.4=40\%[/tex]