### 11-4 Exercises#### Guided Practice1. **Vocabulary:** A compound event where one outcome overlaps with another is made up of two __?__ (inclusive event or mutually exclusive events).A bag contains 25 marbles: 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random.2. Explain why the events “getting a black marble” and “getting a red marble” are mutually exclusive.3. What is the probability of getting a red or a blue marble?4. A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?Numbers 1–10 are written on cards and placed in a bag. Find each probability.5. Choosing a number greater than 5 or choosing an odd number.6. Choosing an 8 or choosing a number less than 5.7. Choosing at least one even number when selecting 2 cards from the bag.Five years after 650 high school seniors graduated, 400 had a college degree and 310 were married. Half of the students with a college degree were married.8. What is the probability that a student has a college degree or is married?9. What is the probability that a student has a college degree or is not married?10. What is the probability that a student does not have a college degree or is married?11. A vending machine offers 8 different drinks. One day, 6 employees each purchased a drink from the vending machine. Find the probability that at least 2 employees purchased the same drink.---### Practice and Problem SolvingJump ropes are given out during gym class. A student has a \( \frac{1}{6} \) chance of getting a red jump rope and a \( \frac{1}{3} \) chance of getting a green jump rope. Meg is given a jump rope.12. Explain why the events “getting a red jump rope” and “getting a green jump rope” are mutually exclusive.13. What is the probability that Meg gets a red or a green jump rope?

we need to determine the number of favorable outcomes (red or blue marbles) and the total number of…

GUIDED PRACTICE 1. Vocabulary A compound event where one outcome overlaps with another is made up of two ?. (inclusive event or mutually exclusive events) A bag contains 25 marbles: 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random. 2. Explain why the events "getting a black marble" and "getting a red marble" are mutually exclusive. 3. What is the probability of getting a red or a blue marble? 4. A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?

GUIDED PRACTICE 1. Vocabulary A compound event where one outcome overlaps with another is made up of two ?. (inclusive event or mutually exclusive events) A bag contains 25 marbles: 10 black, 13 red, and 2 blue. A marble is drawn from the bag at random. 2. Explain why the events "getting a black marble" and "getting a red marble" are mutually exclusive. 3. What is the probability of getting a red or a blue marble? 4. A car approaching an intersection has a 0.1 probability of turning left and a 0.2 probability of turning right. Explain why the events are mutually exclusive. What is the probability that the car will turn?

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter14: Counting And Probability

Section14.FOM: Focus On Modeling: The Monte Carlo Method

Problem 3P: Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if...

See similar textbooks

Similar questions

Medicine Out of a group of 9 patients treated with a new drug, 4 suffered a relapse. Find the probability that 3 patients of this group, chosen at random, will remain disease-free.
You toss two six-sided dice. What is the probability that the total of the two dice is 5?
Another friend asks you to explain how to tell whether two events are dependent or independent. How would you reply? Use your own words.
Dividing a JackpotA game between two players consists of tossing a coin. Player A gets a point if the coin shows heads, and player B gets a point if it shows tails. The first player to get six points wins an 8,000 jackpot. As it happens, the police raid the place when player A has five points and B has three points. After everyone has calmed down, how should the jackpot be divided between the two players? In other words, what is the probability of A winning and that of B winning if the game were to continue? The French Mathematician Pascal and Fermat corresponded about this problem, and both came to the same correct calculations though by very different reasonings. Their friend Roberval disagreed with both of them. He argued that player A has probability 34 of winning, because the game can end in the four ways H, TH, TTH, TTT and in three of these, A wins. Robervals reasoning was wrong. a Continue the game from the point at which it was interrupted, using either a coin or a modeling program. Perform the experiment 80 or more times, and estimate the probability that player A wins. bCalculate the probability that player A wins. Compare with your estimate from part a.