Instructions: Choose the best answer and shade in the corresponding letter on the answer sheet provided. Be sure to include your name and student ID.

Transcription

1 Math 3201 Unit 3 Probability Test 1 Unit Test Name: Part 1 Selected Response: Instructions: Choose the best answer and shade in the corresponding letter on the answer sheet provided. Be sure to include your name and student I 1. Environment Canada says the probability of precipitation for tomorrow in Corner Brook is 80%. What are the odds for precipitation tomorrow in Corner Brook? 2. Given the following tree diagram when a fair coin is tossed three times. Determine the odds in favor of tossing 2 heads and a tail. 3. Sam has four loonies, three toonies, and six quarters in his pocket. He needs two loonies for a parking meter. He reaches into his pocket and pulls out two coins at random. Determine the probability that both coins are quarters.

2 4. In a school of 120 students, 82% of the students have a cell phone, 50% of the students have a tablet, and 12 students have neither. Approximately how many students have a cell phone and tablet? A deck of 40 cards consists of 4 different colored sets: red, blue, green, and yellow. Each set is numbered from 0 to 9 as shown below. Determine the probability that the first card chosen is blue and the second card chosen is also blue. 6. A soccer player has 16 attempts on net and 4 goals scored. What are the odds against him scoring a goal on his next attempt?

3 7. If the odds in favor of Kaden scoring a goal are, what is the probability that Kaden will score on his next attempt? 8. Which of the following is a dependent event? Drawing an ace from a standard deck of 52 playing cards, putting it back, and then drawing another ace. Drawing a club from a standard deck of 52 playing cards, putting it back, and then drawing another card. Rolling a 1 and having a sum greater than 4 with a pair of six-sided dice, numbered 1 to 6. Rolling a 3 and rolling a 6 with a pair of six-sided dice, numbered 1 to A jar contains black and white marbles. Two marbles are chosen without replacement. The probability of selecting a black marble and then a white marble is 0.34, and the probability of selecting a black marble on the first draw is What is the probability of selecting a white marble on the second draw, given that the first marble drawn was black? 13% 16% 72% 81% 10. Brandon randomly picks a card from a standard deck of 52 playing cards. Without replacing the card, he picks another card. What is the probability that both cards will be a spade?

4 11. You have a six-sided die, numbered 1 to 6. You also have a coin with heads on one side and tails on the other. What is the probability of rolling a number less than 5 and tossing tails with the coin? 12. Nine boys and twelve girls have signed up for a trip. Only six students will be selected to go on the trip. Determine the probability that only boys will be on the trip. 0.02% 0.08% 0.15% 0.23% 13. Select the events that are mutually exclusive. Drawing a 7 or drawing a heart from a standard deck of 52 playing cards. Rolling a sum of 4 or rolling an even number with a pair of four-sided dice, numbered 1 to 4. Drawing a black card or drawing a Queen from a standard deck of 52 playing cards. Rolling a sum of 8 or a sum of 11 with a pair of six-sided dice, numbered 1 to There are 60 males and 90 females in a graduating class. Of these students, 30 males and 50 females plan to attend a certain university next year. Determine the probability that a randomly selected student plans to attend the university

5 15. Taylor is about to draw a card at random from a standard deck of 52 playing cards. Determine the probability that she will draw a black card or a spade. Part 2 Constructed Response: Instructions: Complete all of the following in the space provided. For full marks be sure to show all working s and present your answers in a clear and concise manner. 16. There are 6 boys and 5 girls on a student council. a) What is the probability that a sub-committee of 5 members has 3 girls? ( 1 ) b) What is the probability that a sub-committee of 5 members has 2 girls and 3 boys? ( 1 ) c) What is the probability that a sub-committee of 5 members has at least 2 girls? ( 2 )

6 17. A six digit password is created using the digits 0 to 9 and the 26 letters of the alphabet. a) What is the probability that the password starts with a vowel (a, e, i, o, u) and ends ( 2 ) with an odd number? b) Will the probability change in part a) if the letters are case sensitive and no repeating ( 2 ) characters are allowed? Justify your answer. 18. Claire has four identical black socks and six identical white socks loose in her drawer. ( 2 ) She pulls out one sock at random and then another sock, without replacing the first sock. Determine to the nearest tenth of a percent, the probability that she pulls out a pair of black socks.

7 19. A computer manufacturer knows that, in a box of 175 computer chips, 5 will be ( 2 ) defective. Dylan will draw 2 chips at random, from a box of 175. Determine to the nearest thousandth, the probability that Dylan will draw 2 non-defective chips. 20. Andrew is the coach of a team. Based on the team s record, it has an 80% chance ( 3 ) of winning on calm days and a 60% chance of winning on windy days. Tomorrow there is a 60% chance of high winds. There are no ties. What is the probability that Andrew s team will win tomorrow?

8 Standard Deck of Cards