Disjoint events that are mutually exclusive both

Info icon This preview shows pages 4–7. Sign up to view the full content.

View Full Document Right Arrow Icon
Disjoint – events that are mutually exclusive (both cannot occur at the same time) Key Concepts: Chance behavior is unpredictable in the short run, but has a regular and predictable pattern in the long run Probability Rules Any probability is a number between 0 and 1 The sum of the probabilities of all possible outcomes must equal 1 If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities The probability that an event does not occur is 1 minus the probability that the event does occur Probability of certainty is 1 Probability of impossibility is 0
Image of page 4

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Chapter 6: Probability and Simulation: The Study of Randomness Example 1: Using the application on your calculator flip a coin 1 time and record the results? Now flip it 50 times and record the results. Now flip it 200 times and record the results. (Use the right and left arrow keys to get frequency counts from the graph) Number of Rolls Heads Tails 1 51 251 Example 2: Draw a Venn diagram to illustrate the following probability problem: what is the probability of getting a 5 on two consecutive rolls of the dice? Example 3: Given a survey with 4 “yes or no” type questions, list all possible outcomes using a tree diagram. Divide them into events (number of yes answers) regardless of order. Example 4: How many different dinner combinations can we have if you have a choice of 3 appetizers, 2 salads, 4 entrees, and 5 deserts? Example 5: What are your odds of drawing two hearts (from a normal 52-card deck)? a) If you draw a card and replace it and then draw another b) If you draw two cards (without replacing)?
Image of page 5
Chapter 6: Probability and Simulation: The Study of Randomness Example 1: Identify the problems with each of the following a) P(A) = .35, P(B) = .40, and P(C) = .35 b) P(E) = .20, P(F) = .50, P(G) = .25 c) P(A) = 1.2, P(B) = .20, and P(C) = .15 d) P(A) = .25, P(B) = -.20, and P(C) = .95 Example 2: A card is chosen at random from a normal deck. What is the probability of choosing? a) a king or a queen b) a face card or a 2 Example 3: What is the probability of rolling two dice and getting something other than a 5? Example 4: Find the following probabilities: A) P(rolling 2 sixes in a row) = ?? B) P(rolling 5 sixes in a row) = ?? Example 5: A card is chosen at random from a normal deck. What is the probability of choosing? a) a king or a jack b) a king and a queen c) a king and red card d) a face card and a heart Example 6: P(rolling a least one six in three rolls) = ?? Example 7: There are two traffic lights on the route used by Pikup Andropov to go from home to work. Let E denote the event that Pikup must stop at the first light and F in a similar manner for the second light. Suppose that P(E) = .4 and P(F) = . 3 and P(E and F) = .15. What is the probability that he: a) must stop for at least one light?
Image of page 6

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 7
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern