Question for the month of marchmarch in a certain city, 5757% of the days are cloudycloudy. also in the month of marchmarch in the same city, % of the days are cloudycloudy and foggyfoggy. what is the probability that a randomly selected day in marchmarch will be foggyfoggy if it is cloudycloudy?

There is probability of 96.4% that  a day in March will be foggy if it is a cloudy.

Step-by-step explanation:

Since we have given that

Probability of the days in March are cloudy = 57%

Probability of the cloudy days in March are foggy = 55%

Let A be the event of cloudy days in March.

Let B be the event of foggy days in March.

So, here,

P(A) = 0.57

P(A∩B) = 0.55

We need to find the probability that days are foggy given that it is cloudy.

We would use "Conditional probability":

Hence, There is probability of 96.4% that  a day in March will be foggy if it is a cloudy.

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.