Concept explainers
To find: the probability for the experiment of drawing two marbles at random (without replacement) such that both are of different colors, from a bag containing one green, two yellow, and three red marbles.
Answer to Problem 34E
Explanation of Solution
Instead of finding the probability of drawing two marbles of different colors, find the probability that both marbles are of same color and then use the fact that probability of complement of an event A is given by
Total number of marbles
Now, first find the probability that both marbles are of yellow color.
Here each draw is independent, so take product of each event to find total probability.
Now, find the probability that both marbles are of red color.
Here each draw is independent, so take product of each event to find total probability.
Then, probability of drawing two marbles of same color is:
Lastly, the probability of drawing two marbles of different color is:
Chapter 9 Solutions
EBK PRECALCULUS W/LIMITS
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning