# Three people go to the market in the morning with the following probabilities: 1/2, 2/3, and 3/4. What is the likelihood that two go to the market on a given morning?

##### 1 Answer

We'll have to work out the probabilities for all three combinations of two, *where one stays home* . Let's call the people

#### Explanation:

We'll define the probabilities by the letter

(the

Then we get (remember "and" means multiply)

Since these combinations are mutually exclusive we **add** :

**Note** :

If the question had been "at least two" we would have to add:

If you had just added the probabilities of