AP BIOLOGY

HEREDITY

BASICS OF PROBABILITY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice cream cones can a customer order?
A
2
B
3
C
34
D
93
Explanation: 

Detailed explanation-1: -The customer can choose 93 options. Important information: Types of cones = 3. Flavors of ice cream = 31.

Detailed explanation-2: -The Baskin-Robbins Ice Cream Stores have 31 flavors of ice cream. a) How many different 3-scoop ice cream cones are possible if you are allowed to repeat flavors and want the scoops put on the cone in a particular order? = 29, 791.

Detailed explanation-3: -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-4: -Since the order is important, you need to calculate the permutations of 31 objects taken 3 at a time. So using a permutation calculator I get 26, 970 different possibilities.

Detailed explanation-5: -There are 2 ways to choose a cone and 15 ways to choose a flavor. By the Fundamental Counting Principle, there are 2 × 15 = 30 ways to choose a 1-scoop ice cream.

There is 1 question to complete.