Choose a Letter at Random. What Is the Probability That the Letter Is

Probability Practice Name: ______Pg. ______1. Define Event 1: all of the letters that make up the word SAINT and Event 2: all of the letters that make up the word PATRICK. Fill in the Venn diagram below with all of the letters of the alphabet. Choose a letter at random. What is the probability that the letter is…

2. in the word SAINT?

3. in both the word SAINT and in the word PATRICK?

4. in neither the word SAINT nor the word PATRICK?

Draw a Venn diagram for each problem, then answer the questions that follow.

5. In a class of 50 students, 18 take chorus, 26 take band, 2 take both chorus and band. Choose a student from this class at random. What is the probability that…

a. the person is in band?

b. the person is neither in band nor chorus?

c. the person is in band and chorus?

6. A new veterinarian in town serves 26 patrons. 14 of them have dogs, 10 have cats and 5 have fish. Four have dogs and cats, 3 have dogs and fish, and one has a cat and fish. No one has all 3 types of pets. Randomly chose a patron from this veterinarian’s clinic. What is the probability that…

a. the person owns a dog?

b. the person owns a cat and a fish?

c. the person owns a pet besides a dog, cat or fish?

7. The table below shows the results of a poll of 80 high school students who were asked if they prefer math or English.

Choose a student from the poll at random and find the probability that the student…

a. prefers math b. is in 10th grade c. is in 12th grade

d. prefers math and is in 11th grade e. prefers math and is in 9th grade 8. Consider the following names: Aaron, Anna, Ashley, Bear, Isabelle, Kyle, Levi, Susan, Tiffany, Tyler Define Event A: the name has the letter A in it and Event E: the name has the letter E in it Complete the Venn Diagram below. Choose one of the 10 names at random. What is the probability that the name…

a. contains the letter A?

b. contains the letters A and E?

c. contains neither A nor E? d. contains the letter E, but not A?

9. If somebody said the answer to 8b is 3, are they correct? Why or why not?

10. Roberto is the owner of a car dealership. He is assessing the success rates of his top three salespeople in order to offer one of them a promotion. Over two months, for each attempted sale, he records whether the salesperson made a successful sale or not. The results are shown in the chart below. a. Find the probability that each sales person will make a successful sale. Write your answer as a decimal rounded to the nearest hundredth.

b. Which person should get the promotion? Why?

11. The wheel shown below is similar to one that contestants spin on the game show Wheel of Fortune. If the spinner is spun one time, what is the probability that it will land on…

a. $200? b. Bankrupt?

c. $500? d. $100?

e. a dollar amount greater than $200?

f. a dollar amount less than $300?

g. a space that does not have a dollar amount on it?