NAME: TEACHER: YEAR 10 MATHEMATICS, 2013 Section 9 Probability Answer ALL questions in the spaces provided in this booklet. Show ALL working. For use only Assessor’s Curriculum Level ========================================================================== QUESTION ONE Draw a dot on the scale to show how likely each Explain why the probability of Red 1 is – event is. NOT 1/12. A dropped coin landing on its edge If the probability of spinning white is 1/4, A cat choosing to sleep in the sun for part of what is the probability of White 3? – a day. Guessing correctly in a multi-choice question QUESTION THREE with 4 options (when you the don’t know 5% of people have asthma. 80% of people with answer). asthma have hay fever also. 15% of people without asthma have hay fever. Your calculator receiving radio transmissions Use the information to complete the tree from Mars diagram below: QUESTION TWO Use your tree diagram to answer the A game is played with the spinner shown below following: and a 4-sided fair die. (The faces of the die are What is the probability that a randomly numbered 1, 2, 3, 4). chosen person will be asthmatic AND NOT have hay fever? List all of the possible outcomes. For ____________________________________ example, Red 1, Red 2, – – …. What is the probability that a randomly chosen person has hay fever?
NAME: TEACHER: YEAR 10 MATHEMATICS, 2013 Section 9 Probability Answer ALL questions in the spaces provided in this booklet. Show ALL working. For Assessor’s use only Curriculum Level ========================================================================== QUESTION ONE Draw a dot on the scale to show how likely each event is. A dropped coin landing on its edge A cat choosing to sleep in the sun for part of a day. Guessing correctly in a multi-choice question with 4 options (when you don’t know the answer). Your calculator receiving radio transmissions from Mars QUESTION TWO A game is played with the spinner shown below and a 4-sided fair die. (The faces of the die are numbered 1, 2, 3, 4). List all of the possible outcomes. For example, Red – 1, Red – 2, …. Explain why the probability of Red – 1 is NOT 1/12. If the probability of spinning white is 1/4, what is the probability of White – 3? QUESTION THREE 5% of people have asthma. 80% of people with asthma have hay fever also. 15% of people without asthma have hay fever. Use the information to complete the tree diagram below: Use your tree diagram to answer the following: What is the probability that a randomly chosen person will be asthmatic AND NOT have hay fever? ____________________________________ What is the probability that a randomly chosen person has hay fever?
2013_year_10_eoy_exam.docx