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A series of exercises focused on probability and expected value concepts, relevant to introductory statistics courses. It covers topics such as calculating probabilities of dice rolls, coin flips, and events with multiple outcomes. The exercises also explore the concept of expected value in various scenarios, including investments and weighted averages. This resource can be valuable for students seeking practice problems to solidify their understanding of these fundamental statistical concepts.
Typology: Exams
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1.A 6 - sided die is rolled once. What is the probability of rolling a 3? 1/ 1/ 1/ 1/ 1/
A 6 - sided die is rolled once. What is the probability of rolling a number that is less than or equal to 2? 1/ 1/ 1/ 1/ 1/
A 6 - sided die is rolled once. What is the probability of rolling a number less than 4? 1/ 1/ 1/ 1/ 1/
A 6 - sided die is rolled twice. Does the outcome of the first roll affect the outcome of the second roll? No, the rolls are independent events. No, the rolls are dependent events. Yes, the rolls are independent events. Yes, the rolls are dependent events. It depends on the type of die.
Two 6 - sided dice are rolled at the same time. Are the outcomes dependent on each other? No, the rolls are independent events. No, the rolls are dependent events. Yes, the rolls are independent events. Yes, the rolls are dependent events. It depends on the type of dice.
Two 6 - sided dice are rolled, one after the other. Are the outcomes dependent on each other? No, the rolls are independent events. No, the rolls are dependent events. Yes, the rolls are independent events. Yes, the rolls are dependent events.
1/ 1/ 1/
A fair coin is flipped 8 times and lands on heads all 8 times. What is the probability of getting heads on the ninth flip? 1/ 1/ 1/ 1/ 1/
A fair coin is flipped 3 times. What is the probability of getting heads all three times? 1/ 1/ 1/ 1/ 1/
A fair coin is flipped 3 times. What is the probability of getting heads at least once?
11/ 7/ 3/ 1/ 1/
If there is a 50% chance that it will rain today and a 50% chance that it will rain tomorrow, what is the probability that it rains at least one of the days? 1 3/ 2/ 1/ 1/
There are 5 Kit Kats, 5 Milky Ways and 7 Snickers in a trick-or-treater's bag. If the trick-or-treater picks 2 Kit-Kats and 1 Snickers out of the bag, what is the probability that the next piece of candy out of the bag will be a Milkyway? 1/ 5/ 5/ 1/
91% An investment has a 20% chance of losing $20, a 30% chance of making $10, a 40% chance of making $20, and a 10% chance of making $100. What is the expected value of the investment?
A used car dealer has 5 cars that are 3 years old, 4 cars that are 4 years old, 3 cars that are 5 years old, and 1 car that is 2 years old. What is the weighted average age of the cars at the dealership? (Round your answer to the nearest tenth.) 2.8 years 3.1 years 3.7 years 4.2 years 4.9 years
If a student gets a 96% on 1 exam, a 90% on 3 exams, and an 84% on 2 exams, what is the students weighted average score across the exams? 94% 92%
89% 87%
On a travel website, 58 hotels are rated 5 stars, 120 hotels are rated 4 stars, 135 hotels are rated 3 stars, 88 hotels are rated 2 stars, and 46 hotels are rated 1 star. What is the average hotel rating? 2.8 stars 3.1 stars 3.3 stars 3.5 stars 3.8 stars
Using the table, what is the probability that it is either sunny or overcast?
0.
Using the table, what is the probability that it neither rains nor snows?
In a deck of cards, there are 52 cards split evenly between red suits (hearts and diamonds) and black suits (clubs and spades). In each suit, there are cards numbered 2 through 10, a jack, a queen, a king and an ace. What is the probability that the card on the top of the deck is a club? 25.0% 11.5% 7.7% 4.9% 1.9%
