حل ورقة عمل Probability of Compound Events في الرياضيات باللغة الإنجليزية للصف السابع (2)

Probability of Compound Events Practice

1.An Italian ice shop sells Italian ice in four flavors: lime, cherry, blueberry, and watermelon. The ice can be served plain, mixed with ice cream, or as a drink. Using an organized list or table, what is the sample space of possible outcomes? (Example 1)

Sample space: lime plain, lime ice cream, lime drink, cherry plain, cherry ice cream, cherry drink, blueberry plain, blueberry ice cream, blueberry drink, watermelon plain, watermelon ice cream, watermelon drink.

2. A deli offers a lunch consisting of a soup, salad, and sandwich from the menu shown in the table. A customer randomly chooses lunch consisting of a soup, salad, and sandwich. Construct and use a tree diagram to determine the sample space of the event. How many possible outcomes are in the sample space? (Example 2)

Soup، Salad، Sandwich، Tortellini، Lentil، Ceasar، Macaroni، Roast Beef، Ham، Turkey، 12 outcomes

3. The spinner shown has six equal-size sections and is spun twice. What is the probability that the product of the numbers spun is 12? (Example 3); 11.1%

4. A number from 0 to 9 is randomly selected and then a letter from A to D is randomly selected. What is the probability that the number 3 and a consonant are selected? (Example 4), 0.075, 7.5%

5. Open Response Lorelei tosses a coin 4 times. What is the probability of tossing four heads? Express as a percent. Round to the nearest tenth, if necessary.6.3%

Apply

6. A number cube labeled 1 through 6 is rolled and the spinner shown is spun once. The spinner has four equal-size sections. This experiment is repeated 60 times. The relative frequency for getting a sum of 5 was . What is the difference between the number of expected outcomes and the number of actual outcomes?

7. Olivia tosses a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was . What is the difference between the number of expected outcomes and the number of actual outcomes?

8. Justify Conclusions Natalie has a choice of a black, blue, or tan skirt to wear with a red, blue, or white sweater. Without calculating the number of possible outcomes, how many more outfits can she create if she adds a yellow sweater to her collection? Explain.3 more outfits; Sample answer: She will have three different skirts that she can wear with the yellow sweater.

9. Persevere with Problems Kimiko and Miko are playing a game in which each person rolls a number cube. If the sum of the numbers is a prime number, then Miko wins. Otherwise, Kimiko wins. Is this game fair? Write an argument to defend your response. no; Sample answer: The probability that Kimiko will win is . Because is greater than , Kimiko has a greater chance of winning.

10. Does the algebraic expression x10 represent the number of possible outcomes if the spinner shown is spun x times? Explain.

no; Sample answer: The algebraic expression 10x would represent the number of possible outcomes. For example, if you spun the spinner 2 times, the total number of possible outcomes is 100, not 1,024.

11. Describe a real-world compound event that has a sample space with four possible outcomes. Show the sample space.

Sample answer: Choosing a hamburger or hot dog and then potato salad or macaroni salad.

Sample space:hamburger, potato salad

hamburger, macaroni salad

hot dog, potato salad

hot dog, macaroni salad