Compound Probabilities Instructions:
Fill out the following 2-way frequency table about ice cream preferences. Then answer the
questions below.

Preferred Ice Cream Flavor

Vanilla
Chocolate
Rocky Road
TOTAL
Male
9
6
4
19
Female
3
6
3
12
TOTAL
12
12
7
31

Student
Gender

1. Show your work for each part of this question. What is the probability of randomly selecting:
a. A female?

b. A student who is male and prefers Rocky Road?

c. A student who is male and likes vanilla, or a student who is female and prefers
Chocolate?

2. For each part of this question, choose which scenario will have a higher probability. Support your A decision by including calculations.

a. A student who prefers vanilla, chocolate, or rocky road?

b. A female student who prefers vanilla, or a female student who prefers rocky road?

c. A female student who prefers chocolate, or a male student who prefers rocky road?

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step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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