For the month of November in a certain city, 88% of the days are cloudy. Also in the month of November in the same city, 54%

Question

3 years ago

11

of the days are cloudy and foggy. What is the probability that a randomly selected day in November will be foggy if it is cloudy?

1 answer:

Gnoma [55] · Answer 1 · 2022-03-31T17:05:02+03:00

Answer:

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.

Step-by-step explanation:

We have these following probabilities:

An 88% probability that the day is cloudy.

An 54% probability that the day is both foggy and cloudy.

What is the probability that a randomly selected day in November will be foggy if it is cloudy?

This is the percentage of days that are cloudy and foggy divided by those that are cloudy. So:

$P = \frac{0.54}{0.88} = 0.6136$

There is a 61.36% probability that a randomly selected day in November will be foggy if it is cloudy.

For the month of November in a certain​ city, 88​% of the days are cloudy. Also in the month of November in the same​ city, 54​%