Concept explainers
(a) We know that when flipping a coin, the probability of getting tails is 1/2. Use a tree diagram to find the probability of getting tails twice in a row.
(b) We also know that the probability of rolling a 5 with one die is 1/6. Use tree diagrams to find the probability of getting tails and then rolling a 5 when you flip a coin and then roll a single die.
(c) Based on the results of parts (a) and (b), how do you think you find the probability of two unconnected events occurring consecutively when you know the probability of each occurring individually? (Answer successfully, and you’ve discovered an important rule we’ll study in Section 11-8.)

Want to see the full answer?
Check out a sample textbook solution
Chapter 10 Solutions
MATH IN OUR WORLD (VALUE EDITION)
Additional Math Textbook Solutions
Pathways To Math Literacy (looseleaf)
Elementary Statistics ( 3rd International Edition ) Isbn:9781260092561
Intermediate Algebra (13th Edition)
Elementary Statistics Using The Ti-83/84 Plus Calculator, Books A La Carte Edition (5th Edition)
Introductory Statistics
Elementary Statistics: Picturing the World (7th Edition)
- Find all solutions of cos(x + 1) = cos(x − 1) = Π - - = 1 in the interval [0, 2π). 6arrow_forwardSolve the equation 2 cos 2x + √√3 = 0 for 0 ≤ 0 < 2π.arrow_forwardConsider y (t) — y" (t) − y' (t) + y(t) = 0 (a) Denote new variables x1(t) := y(t), x2(t) := y' (t), x3(t) = y"(t) and solve the following system 0 1 0 x1(t) X' (t) = 0 1 X(t), X(t) = x2(t) -1 1 1 x3(t) = y(t) y' (t) y" (t) (b) Use your solution to the system to find the solution to the original equation (verify!).arrow_forward
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning



