Find the probability that the player wins a game of craps.
Answer to Problem 138E
The probability that the player wins a game of craps is 0.4929.
Explanation of Solution
Calculation:
Let A denote the
The possible outcomes when rolling two dice are shown below:
The formula for finding the probability that the player wins a game of craps is shown below:
From the given information,
Also,
For k = 4, 5, 6, 8, 9 and 10,
Here, the tosses are independent.
Let Fk denote the event that player do not throw a k or a 7, for k =4, 5, 6, 8, 9, 10.
The Event Ck is obtained as follows:
The probability of C4 is obtained as given below:
Similarly, the probabilities of
From the sample outcomes, it can be observed that,
Therefore,
The probability that the player wins a game of craps is obtained as follows:
Thus, the probability that the player wins a game of craps is 0.4929.
Want to see more full solutions like this?
Chapter 2 Solutions
Mathematical Statistics with Applications
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL