156k views
4 votes
At an ice cream shop, there are 3 different flavors of ice cream and 10 different toppings. What is the probability of the next customer ordering strawberry ice cream with sprinkles? Use a / to represent the fraction bar.

1 Answer

2 votes

Answer:

1/ 30

Explanation:

probability of selecting one thing out of n different thing is 1/n

There are three flavors of ice cream

Therefore the number of of ways to select a ice cream is 3(sample space).

one of the flavor is strawberry

probability of selecting strawberry = 1/3

*****************************************************************

There are 10 flavors of toppings

Therefore the number of of ways to select a toppings is 10(sample space)..

one of the flavor is sprinkles

probability of selecting sprinkles = 1/10

*******************************************************************

probability of occurrence of two mutually independent event P(A) and P(B) simultaneously is P(A) * P(B) .

Mutually independent events are those event in which occurrence of one event does not affect the occurrence of other event.

In the problem stated selection of flavor and toppings are independent events .

Now probability of selecting strawberry ice cream with sprinkles = probability of selecting sprinkles*probability of selecting strawberry

= 1/3 *1/10

= 1/30

Hence probability of the next customer ordering strawberry ice cream with sprinkles is 1/30.

User Ziggurism
by
6.0k points