Question

In a café there are 5 different sandwiches, 4 different desserts and 6 different drinks. Two of the desserts are sugar-free and three of the drinks are sugar-free. A meal combination is selected at random work out the probability that both dessert and drink are sugar free

Answer 1

the probability that both dessert and drink are sugar free = ¼

Explanation:

We are told that there are 5 different sandwiches, 4 different desserts and 6 different drinks.

Now, since Two of the four desserts are sugar free, then the probability that the dessert chosen is sugar free is;

P(desert sugar free) = ½

Now, three of the the 6 drinks are sugar free, then the probability that the drink chosen is sugar free is;

P(drink sugar free) = 3/6 = ½

Thus, the probability that both dessert and drink are sugar free is;

P(both sugar free) = ½ × ½ = ¼