April 26, 2010Math 132: Foundations of Mathematics 11.4 Homework Solutions 55. P(male) =.427 56. P(female) =.573 57. P(25-34) =.130 58. P(35-44) =.143.

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April 26, 2010Math 132: Foundations of Mathematics 11.4 Homework Solutions 55. P(male) = P(female) = P(25-34) = P(35-44) = P(woman in the age range) = P(man in the age range) =.147

April 26, 2010Math 132: Foundations of Mathematics Amy Lewis Math Specialist IU1 Center for STEM Education

April 26, 2010Math 132: Foundations of Mathematics 11.6 Events Involving Not and Or Find the probability that an event will not occur. Find the probability of one event or a second event occurring. Understand and use odds.

April 26, 2010Math 132: Foundations of Mathematics Complementary Events What is the probability of NOT rolling a 1 when rolling a die? The event not E is the complement of E because it is the set of all outcomes in the sample space that are not outcomes in the event E. P(E) + P(not E) = 1

April 26, 2010Math 132: Foundations of Mathematics Complementary Events If you are dealt one card from a standard 52-card deck, find the probability that you are not dealt a diamond. 2 ways of doing this –P(not diamond) = 1 – P(diamond) –P(not diamond) = P(heart, spade, or club)

April 26, 2010Math 132: Foundations of Mathematics Complementary Events Look at the circle graph on page 642. If one driver is randomly selected from the population represented in the graph, find the probability that the person –Is not in the age group. –Is at least 20 years old.

April 26, 2010Math 132: Foundations of Mathematics Or Probabilities with Mutually Exclusive Events Mutually Exclusive Events –If it is impossible for events A and B to occur simultaneously, the events are said to be mutually exclusive. Examples of mutually exclusive events? If A and B mutually exclusive events, then P(A or B) = P(A) or P(B)

April 26, 2010Math 132: Foundations of Mathematics Or Probabilities with Mutually Exclusive Events When you roll a single, six-sided number cube, what is the probability of getting either a 4 or a 5? When randomly selecting a card from a 52- card deck, what is the probability of selecting either a red 2 or a black 3?

April 26, 2010Math 132: Foundations of Mathematics Or Probabilities with Events that are not Mutually Exclusive If A and B are not mutually exclusive events, then P(A or B) = P(A) + P(B) – P(A and B) In a group of 50 students, 23 take math, 11 take psychology, and 7 take both math and psychology. If one student is selected at random, find the probability that the student takes math or psychology?

April 26, 2010Math 132: Foundations of Mathematics Or Probabilities with Events that are not Mutually Exclusive In the spinner on page 645, find the probability of the pointer landing on an odd number or a number less than 5.

April 26, 2010Math 132: Foundations of Mathematics Odds The odds in favor of E are Odds in favor of E = P(E) P(not E) The odds against E are Odds against E = P(E) P(not E)

April 26, 2010Math 132: Foundations of Mathematics Odds You are dealt one card from a 52-card deck. –Find the odds in favor of getting a red queen. –Find the odds against getting a red queen. The winner of a raffle will receive a two- year scholarship to the college of his or her choice. If 1000 raffle tickets were sold and you purchased 5 tickets, what are the odds of your winning the scholarship?

April 26, 2010Math 132: Foundations of Mathematics Homework 11.6: Select some random problems from each section to try out. This will be on the test, so be sure to get some practice! Next Session: Friday, April 30 This week is a 3-session week (M, Th, F)! BUT next week is a 1-session week (M)!