Question

name: noah
5.2.4 review/preview problems
5-60. maggie was at the state fair and decided to buy a sundae from an ice cream stand. the ice cream stand had four flavors of ice cream (chocolate, vanilla, mint chip, and coconut) and two toppings (hot fudge and caramel). how many different sundaes could maggie create using one scoop of ice cream and one topping? make a probability table to support your answer.

topping	ice cream
caramel

5-61.
the aloha stadium in honolulu, hawaii, has seats for 50,000 people. at an upcoming football game, a company is planning to give away free hats to people based on where they are sitting (assume all seats will be filled).
a. the seats are divided into 40 sections. if hats are to be given in only 5 sections, what is the probability of a guest sitting in a winning section?

Explanation:

For Problem 5-60:

Step1: Identify flavor-topping pairs

Each ice cream flavor pairs with 2 toppings. There are 4 flavors, so total pairs: $4 \times 2$

Step2: Calculate total sundaes

$4 \times 2 = 8$

Probability Table (for context):

Ice Cream	Hot Fudge	Caramel
Vanilla	1	1
Mint Chip	1	1
Coconut	1	1

Total possible sundaes = sum of all table entries = 8

Step1: Define favorable/total sections

Favorable sections = 5, total sections = 40

Step2: Compute probability

$\text{Probability} = \frac{\text{Favorable Sections}}{\text{Total Sections}} = \frac{5}{40} = \frac{1}{8}$

Answer:

8

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For Problem 5-61a: