Tanning: Week 13 Name: 1. Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on tails and the die will land on an even number? 2. Sam's closet contains blue and green shirts. He has eight blue shirts, and seven green shirts. Five of the blue shirts have stripes, and four of the green shirts have stripes. What is the probability that Sam randomly chooses a shirt that is blue or has stripes? 3. Mark has a standard deck of 52 cards and a fair two-sided coin. What is the probability that he will pull a jack from the deck of cards and toss the coin to land on heads? 4. Brandon is rolling two six-sided dice. What is the probability that one die lands on an even number and the other die lands on an odd number? 5. Johan is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the probability that the coin will land on either heads or tails and the die will land on an even number?
6. A single six-sided die is rolled twice. What is the probability of rolling an even number on the first roll and a 1 on the second roll? 7. Doreen is flipping two fair coins. What is the probability that both coins land on heads? 8. An 8-sided die was rolled a number of times. The results are shown in the table below. Number Frequency 1 11 2 17 3 14 4 5 5 20 6 5 7 5 8 23 Based on these results, what is the probability of rolling a 1 then a 5? 9. Holly is taking a multiple choice reading test. She has decided to guess on questions 3 and 7. On each question, there are four worded choices plus an "all of these" choice and a "none of these" choice. What is the probability that she answers question 3 correctly and question 7 incorrectly?
10. The contingency table below gives the counts of students by activities and gender. Band Sports Debate Total Male 105 320 7 432 Female 105 160 14 279 Total 210 480 21 711 If a student is randomly selected, what is the probability that a student is female or plays sports? 11. Terry is going to purchase one item each from two quarter machines. The first quarter machine contains bracelets that are 5 different colors, including her favorite color, blue. There are equal amounts of each color. The second quarter machine contains 1 sticky hand, 1 pencil topper, 2 erasers, 3 plastic rings, and 4 bouncing balls. What is the probability that Terry will get a blue bracelet and a bouncing ball by putting a quarter in each machine? 12. In an experiment a six-sided die is rolled a number of times. The results are shown below. Number Rolled Number of Times Rolled 1 8 2 5 3 3 4 7 5 6 6 5 Based on these results, what is the experimental probability of rolling either a 3 or 4? 3 /34 10 /29 5 /17 5 /13 13. In a bag of keys, there are 12 silver keys, 6 black keys, 10 copper keys, and 4 painted keys of various colors. One key is drawn out at random. What is the probability that the key that is drawn is silver or copper?
14. June is making a necklace for her friend out of beads. There is a one jar containing 1 blue bead and 5 green beads, and another jar containing 1 yellow bead and 3 brown beads. If she reaches in without looking and draws a bead from each jar, what is the probability that she will draw one blue bead and one yellow bead? 15. An experiment consists of rolling two fair dice and adding the dots on the two sides facing up. What is the probability that the sum of the dots is divisible by 3? 16. Frank is conducting an experiment. He has one bag of different colored, same-size chips and one bag of ten same-size chips numbered 1-10. In the first bag there are 4 blue chips, 5 red chips, and 3 black chips. If he pulls one chip out of each bag, what is the probability that he will pull a black chip and an even number?
17. Kayla has a standard deck of 52 cards and a six-sided die. What is the probability that she will pull a diamond from the deck of cards and roll a 3? 18. Katie is trick or treating. The man answering the door holds out two bags. In one bag, there are 3 bars of dark chocolate and 1 bar of white chocolate. In the other bag, there are 3 pieces of strawberry licorice, 1 piece of cherry licorice, and 1 piece of orange licorice. If Katie gets to randomly draw one piece of candy from each bag, what is the probability that she will get a bar of white chocolate and a piece of cherry licorice? 19. Marli has one bag of different colored, same-size chips. There are 4 blue chips, 5 red chips, and 3 black chips. What is the probability that she will pull a blue chip and without replacement pull another blue chip? 20. Cordelia used a random number generator to choose a name for her new puppy. Her results are in the table below. Name Number Assigned Frequency Sparky 1-5 6 Solomon 6-10 14 Lemon 11-15 5 Linus 16-20 10 Lassie 21-25 15 Based on her results, what is the experimental probability that the puppy will be named Lemon or Linus?