AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

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Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]

An ice cream parlor has six different flavors. They have 4 toppings and 2 types of cones. How many possible ice cream combinations are there?

A	24
B	48
C	6
D	12

Explanation:

Detailed explanation-1: -With 1 ice-cream flavor there is 1 kind of 2-scoop ice cream, but with 2 flavors there are 3 possible combinations (eg vanilla/vanilla, chocolate/chocolate, and vanilla/chocolate).

Detailed explanation-2: -There are 31 possible flavors for the first scoop. That leaves 30 possible flavors for the second scoop. Using the multiplication rule, there are 31 × 30 = 930 possible two scoop cones that Jessica could order.

Detailed explanation-3: -Two strawberry scoops plus one vanilla scoop plus one cone can be calculated as 1 plus 1 plus 2 plus 3 (which comes out to 7). So together, one vanilla scoop (5) plus one cone (3) plus a triple scoop with two strawberries and one vanilla on a cone (7) equals 15. And there you have it.

There is 1 question to complete.