Using Probability to Make Decisions

Practice Questions

Common Core: High School - Statistics and Probability › Using Probability to Make Decisions

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1

In a particular African coastal region, seismologists studied tsunamis by observing seismic shifts and earthquakes in the South Pacific Ocean. During their study, they were able to note the number of earthquakes as well as the number of resulting tsunamis in this region. They observed earthquakes and found that there was a probability of a tsunami hitting the region in the next year based on previous data. What is the probability that the region will have tsunamis in the next year?

2

In a particular African coastal region, seismologists studied tsunamis by observing seismic shifts and earthquakes in the South Pacific Ocean. During their study, they were able to note the number of earthquakes as well as the number of resulting tsunamis in this region. They observed earthquakes and found that there was a probability of a tsunami hitting the region in the next year based on previous data. What is the probability that the region will have tsunamis in the next year?

3

A statistics class has ten homework assignments. The first two assignments take 2 hours each to complete. The next three assignments take 4 hours each to complete. The three after that take 10 hours each, and the final two assignments take 15 hours each. On average, how long does it take to complete a homework assignment?

4

A motorist is attempting to decide between the following two insurance policies:

A deductible is the amount of money that you have to pay out-of-pocket before your insurance company will cover the rest. In other words, if the total cost of an accident is and you have a deductible, then you will pay for the accident and your insurance will cover the remaining .

Consider the following:

Given this information which policy can we expect will save the motorist the most money in the following year?

5

A motorist is attempting to decide between the following two insurance policies:

A deductible is the amount of money that you have to pay out-of-pocket before your insurance company will cover the rest. In other words, if the total cost of an accident is and you have a deductible, then you will pay for the accident and your insurance will cover the remaining .

Consider the following:

Given this information which policy can we expect will save the motorist the most money in the following year?

6

At Moe's Pizzeria customers can get a free slice by landing a quarter in a glass nestled in a large jug of water. A customer has a one in eleven chance of getting a quarter into the glass. What are the chances of getting one free slices of pizza in eleven visits to Moe's?

7

A statistics class has ten homework assignments. The first two assignments take 2 hours each to complete. The next three assignments take 4 hours each to complete. The three after that take 10 hours each, and the final two assignments take 15 hours each. On average, how long does it take to complete a homework assignment?

8

In a particular African coastal region, seismologists studied tsunamis by observing seismic shifts and earthquakes in the South Pacific Ocean. During their study, they were able to note the number of earthquakes as well as the number of resulting tsunamis in this region. They observed earthquakes and found that there was probability of a tsunami hitting the region in the next year based on previous data. What is the probability that the region will have tsunami in the next year?

9

An unfair four-sided die is thrown and allowed to land without interruption. The probability and payoff of each side of the die is listed in the provided table.

The game costs to play. Given this information, should you play the game?

10

An unfair four-sided die is thrown and allowed to land without interruption. The probability and payoff of each side of the die is listed in the provided table.

The game costs to play. Given this information, should you play the game?

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