SECONDARY 2 Honors ~ Lesson 9.2 Worksheet Intro to Probability Name Period Write all probabilities as fractions in reduced form! Use the given information to complete problems 1-3. Five students have the following locker combinations: 9 20 10 20 12 13 8 5 18 21 13 11 5 13 14 One of the combinations is chosen at random. Consider the following events. E: The chosen combination contains an even integer. F: The chosen combination contains a factor of 36. 1. Draw a Venn diagram to show the sample space and the events E and F. 2. Describe the following events by listing their outcomes. E F E F F 3. What is the probability that the chosen combination contains a factor of 36?
4. The following table shows a list of students and the extra-curricular activities in which they participate. Consider these events: C: the student is in Chess Club D: the student is in Debate Club B: the student is in Band G: the student is in German Club Describe the following events by listing their outcomes: C G D B B Describe the event whose outcomes include {Ben, Nate, Eva}? 5. Show the sample space for rolling a pair of dice. 6. What is the probability that you will get a sum of 7 when you roll a pair of dice? 7. How many ways can you roll a pair of dice and get an even product? 8. Using your information from #7, what is the probability that you will get an even product when you roll a pair of dice? 9. Think! Bob and Joey were playing a game. Bob will win if he rolls a pair of dice and gets a sum of 7, and Joey will win if he rolls a pair of dice and gets an even product. Is the game fair? Who is more likely to win? Show how you made your conclusion.
10. Nasir tosses a coin 3 times. Draw a tree diagram representing this situation. What is the probability that he gets at least 2 tails? 11. James rolls a die 3 times. Draw a tree diagram representing this situation. What is the probability that he will roll at least 2 even numbers? 12. There are 3 quarters, 4 dimes, and 5 nickels in a purse. Suppose 3 coins are to be selected without replacement. a) P(selecting 3 quarters) = b) P(selecting a quarter, a dime, and then a nickel)= 13. The probability that your team wins a basketball game is 2. What is the probability that you will lose 5 the first 4 games? 14. Consuela is playing a card game with a standard 52-card deck. She wants a king or a diamond on her first draw. What is the probability that she will get a king or a diamond on the first draw?
15. Ladarius is playing a board game. To find the number of spaces to move, he rolls a pair of dice. What is the probability the he will roll doubles or a sum of 7? 16. Refer back to question 15. What is the probability that Ladarius rolls a sum that is less than 4 or greater than 5? 17. Middletown High School has 240 students in the tenth grade. The only tenth grade math courses are algebra and geometry. All of the tenth grade students are taking at least one math course. There are 142 students taking algebra and 120 students taking geometry. What is the probability that a randomly chosen student is taking both algebra and geometry? 18. Middletown High school still has 240 tenth graders. The only tenth grade music courses are choir and band. There are 89 students taking at least one music course. There are 51 taking choir and 58 taking band. What is the probability that a randomly chosen tenth grader is taking both choir and band? 19. Giada tosses a coin 3 times. What is the probability that she gets at least 2 consecutive heads or at least 2 consecutive tails? (refer to #10) 20. Vick is playing a board game. To find the number of spaces to move, he rolls a pair of dice. What is the probability that Vick rolls doubles or a sum of 2?
21. The following Venn diagram shows a relationship between favorite sport and gender. Use it to answer the following questions. a. How many people said soccer is their favorite sport? b. How many females liked baseball? c. How many males chose soccer? d. What is the probability that a randomly chosen person will choose soccer as their favorite sport? 22. Suppose you have a spinner that is divided into 3 equal pieces. One piece is yellow, one is red, and one is blue. You will spin the spinner 2 times. a) Sketch a tree diagram showing all of the possible outcomes when spinning the spinner 2 times. b) What is the probability of spinning a red and then a blue? c) What is the probability of spinning the same color on both spins? d) Think! If you know that you got the same color twice, what is the probability that the color was red?
Read the following scenario and use the information in it to complete problems 23-25. A car dealership is having a contest. The first 10 customers to enter the contest are each given 2 raffle tickets. The remaining 20 customers are each given 1 raffle ticket. There is 1 contest winner, selected by randomly choosing one of the raffle tickets. 23. Spencer is one of the first 10 customers to enter the contest. What is the probability that he will win the raffle? 24. Hope is one of the remaining 20 customers to enter the contest. What is the probability that she will win the raffle? 25. Is the game fair? Explain.