Conditional probability question

On a wintry day, a salesman randomly chooses to drive to 2 of the following three cities: Los Angeles, San Francisco, and Sacramento.

The probability of rain on a wintry day is:

1/3 in San Francisco

1/4 in Sacramento

1/6 in Los Angeles

He returned home with wet clothes.

What is the probability he had visited Los Angeles?

Re: Conditional probability question

Quote:

Originally Posted by

**msokol89** On a wintry day, a salesman randomly chooses to drive to 2 of the following three cities: Los Angeles, San Francisco, and Sacramento.

The probability of rain on a wintry day is:

1/3 in San Francisco

1/4 in Sacramento

1/6 in Los Angeles

He returned home with wet clothes.

What is the probability he had visited Los Angeles?

Your job is to review conditional probability so that you understand where this expression has come from.

Re: Conditional probability question

Quote:

Originally Posted by

**mr fantastic**
Your job is to review conditional probability so that you understand where this expression has come from.

I understand where this expression has come from, however you have missed the part where it says the salesman visited 2 of the 3 cities.

Your answer is correct for the case the salesman has visited only 1 of the 3 cities (2/9).

The answer to my question should be 0.621.

My problem is that I don't how to reach it.

(Sorry for my English)