Mathematics 3201 Test (Unit 3) Probability FORMULAES
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1 Mathematics 3201 Test (Unit 3) robability Name: FORMULAES ( ) A B A A B A B ( A) ( B) ( A B) ( A and B) ( A) ( B) art A : lace the letter corresponding to the correct answer to each of the following in the appropriate blank at the right. 1. A soccer player has 17 attempts on net and 6 goals are scored. What are the odds in favor 1. of the player scoring a goal on the next attempt? (A) 6:11 (B) 11:6 (C) 6:17 (D) 17 :6 2. There are 7 marbles in a bowl : 2 White, 3 Green, and 2 Blue. If 2 marbles are randomly 2. selected, what is the probability of a green marble NOT being selected if the first marble selected is not replaced? 3 2 (A) (C) (B) (D) A and B are mutually exclusive events. The probability of A or B occurring, A B 56%. If the probability of A occurring, A ( ), is 17%, what is the probability of B not occurring, B ( ')?, is 3. (A) 27% (B) 39% (C) 61% (D) 73% 1 a g e
2 4. A student has a six sided die with each side numbered one through six and a coin with 4. heads on one side and tails on the other. What is the probability of rolling a number greater than 4 with the die and tossing heads with the coin? (A) 1 12 (C) 1 4 (B) 1 6 (D) The odds in favor of you choosing a lucky ticket at a raffle is 1:3. What is the probability 5. of you not choosing a lucky ticket to win a prize at the raffle? (A) 1 4 (B) 1 3 (C) 2 3 (D) Mark and Abby are students in line with three other students. What is the probability 6. Mark and Abby are standing together? (A) (C) (B) 5 2 2C2 (D) 4C4 2C2 7. A market study found that 30% of the residents in Mathville fished for Atlantic salmon and 7. 60% hunted white partridge. If 10% did both, what is the probability that a resident of Mathville didn t fish for Atlantic salmon or hunted white partridge? (A) 10% (B) 20% (C) 50% (D) 80% 8. Dan has a 50% probability of making the school hockey team and a 80% probability of 8. making the provincial swimming team. What is his probability of making both? (A) 3 10 (C) 3 5 (B) 2 5 (D) a g e
3 9. In the Venn Diagram below set A contains 150 elements and set B contains 25 elements. 9. If 325 elements are not in either A or B, what is the probability of A or B, A B? (A) (B) (C) (D) A deck of 40 cards consists of 4 different colored sets: red, blue, green and yellow. Each 10. set is numbered from 0 to 9 as shown below. If two cards are randomly picked from the deck, what is the probability that the first card is blue or green and the second card is also blue or green if the first card is not replaced? Card Colour Cards red blue green yellow (A) 1 20 (B) (C) (D) a g e
4 11. A committee of three people will be randomly chosen from a group of nine people; females and 4 males. Which represents the probability of selecting a committee that has at least one male and at least one female member? (A) C C C C C 9 3 (B) C C C C C 9 3 (C) 9C1 5C2 9C2 5C1 C C (D) 9C1 4C2 9C2 4C1 C C The Student Council at Mealy Mountain is having a Christmas contest. If a student spins 12. a one or five they win. What are the odds of a student winning a prize? (A) 1: 3 (B) 1: 4 (C) 3:1 (D) 4:1 art B : Answer all questions and show your workings. 1. If a 5 digit number is generated at random from the digits 2, 3, 4, 5, 6 with no repetition. What is the probability that a number will end with a 5? (3 marks) 4 a g e
5 2. There are 7 women and 5 men interested in becoming members of a committee consisting of 4 people. If the committee is selected at random: (A) what is the probability of having a committee of all men? (3 marks) (B) what is the probability of having the same number of men and women on this committee? (3 marks) 3. A person will be randomly selected from a group to draw a marble from a bag. The odds of selecting a female from the group is 7:8 and the odds of drawing a red marble from the bag are 1:3. What is the probability of a non-red marble being drawn from the bag by a male from the group? (3 marks) 5 a g e
6 4. A company has two factories that make computer chips. Suppose 70% of the chips come from Factory 1 and 30% come from factory 2. In Factory 1 25% of the chips are defective and 10% are defective in Factory 2. Complete the tree diagram and determine the probability that chips are not defective from both factories? (3 marks) 5. Mealy Mountain Collegiate is raising money for a trip to Math Numberland. They sell 500 tickets on two prizes: 1 st rize TI Nspire Calculator autographed by Mr. Math 2 nd rize Box of 10 Mechanical encils If Mr. hysics has 10 tickets, what is the probability of him winning one of the prizes if the first ticket drawn is replaced? (3 marks) 6 a g e
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