For the month of november in a certain city, 53% of the days are cloudy. also in the month of november in the same city, 46% of the days are cloudy and snowy. what is the probability that a randomly selected day in november will be snowy if it is cloudy?

 The required probability that a randomly selected day in November will be snowy if it is cloudy is 86.79%.

Step-by-step explanation:  Given that for the month of November in a certain city, 53% of the days are cloudy. Also in the month of November in the same city, 46% of the days are cloudy and snowy.

We are to find the probability that a randomly selected day in November will be snowy if it is cloudy.

Let A denote the event that the day is cloudy and B denote the event that the day is snowy.

Then, according to the given information, we have

Now, we need to find the conditional probability of event B given that the event A has already happened.

That is, P(B/A).

We know that

Thus, the required probability that a randomly selected day in November will be snowy if it is cloudy is 87.79%.

figure c

step-by-step explanation:

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