MDM 4U Name: B Unit #1 Assignment- Introduction to Probability Part A Short Answer [1 mark each] 1. The probability of tossing a head with a coin is 2. The probability of rolling an odd number on a die is 3. The probability of rain tomorrow is 0.7, therefore the probability that it won't rain is and the odds in favour of rain is 4. The probability of being born in the month of July is. 5. The probability of throwing a number less than three on a die is 6. The probability of picking a spade card from a standard deck of cards is 7. The probability of picking a card that is NOT a heart from a standard deck is 8. Consider the spinner below. What is the probability of 1 2 a) Spinning an even number? b) Spinning a prime number? 3 9. Give an example of an event that has a probability of one (P(event) = 1 ) of occurring. Part B - Full Solution Be sure to show your work for full marks. Questions are on a scale 1-4. 10. A pair of dice is thrown. What is the probability of the following? a) Exactly one four is showing. b) That both numbers are the same. c) A sum of seven or eleven is thrown. d) That both numbers are the same given that the sum is even? 11. Given: P(A) = 0.43 P(B) = 0.28 and P(AB) = 0.17, Find the probability of: a) P(A') b) P(AUB) c) odds against B 12. Given that P(E) = 0.26 P(F) = 0.41 and P(EF)=0.17, a) Draw a Venn Diagram c) Find P(E' F) 13. The girls' volleyball team plays 3 games in a round robin tournament. What is the probability that they win exactly 2 of the three games? Draw a tree diagram to represent the situation. 14. Explain the difference between theoretical and experimental probability. Give an example 15. A card is drawn randomly from a standard deck of 52 cards. What is the probability that the card drawn is a five or a red card. 16. Your friend challenges you to draw two aces at random from a deck of cards. What are the odds of this happening? 17. The timing pattern for a traffic light is Green 30 seconds, Amber 5 seconds, Red 25 seconds. If you drive up to this traffic light a) What is the probability that it is green? b) What are the odds in favour of it being green? c) What are the odds against it being amber? 18. Georgette has exams coming up in Geography and History. She estimates that her odds against passing the Geography exam are 3:17 and her odds in favour of passing the History exam are 21:4. a) Find each: i) P(pass Geography) ii) P(pass History) iii) P(fail Geography) iii) P(fail History) b) What are the odds in favour that Georgette will fail both exams of the exams? 19. Natalie likes to practice target shooting in the backyard with her pellet gun. If the probability that 4 she hits a target is what is the probability that she'll hit a target twice in a row? 7' 20. Natalie also like smarties. She has a bag containing 3 red, 4 purple and 7 yellow. What is the probability that she can choose and eat two red and a purple in that order without looking? 21. A basketball coach claims that at the next game, the odds of her team winning are 3:1, the odds of losing is 5:1 and the odds of a tie are 1:11. Are these odds possible in any way? Explain your reasoning. Criteria Excellent Good Satisfactory Needs Improvement I use class time productively to complete my work... All of the time Most of the time Some of the time I complete the assigned homework... In terms of organization, my notebook and work is... When I don't understand something, I get help.... What did you do to prepare for this summative? How much time did you spend? (BE HONEST!) All of the time Very neat & organized All of the time Most of the time Neat & organized Most of the time Some of the time Rarely Rarely Somewhat neat & organized Not neat & unorganized Some of the time Rarely Look over your answers and predict your level of achievement for this summative. What mark do you think you will get?