Assume a jar has five red marbles and three black marbles. Draw out two marbles with and without replacement. Find the requested probabilities. (Enter the probabilities as fractions. (a) P(two red marbles) with replacement without replacement (b) P(two black marbles) with replacement without replacement (c) P(one red and one black marble) with replacement without replacement (d) P(red on the first draw and black on the second draw) with replacement without replacement

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Assume a jar has five red marbles and three black marbles. Draw out two marbles with and without replacement. Find the requested probabilities. (Enter the probabilities as fractions.)

(a) \(P(\text{two red marbles})\)  
- with replacement: [  ]  
- without replacement: [  ]  

(b) \(P(\text{two black marbles})\)  
- with replacement: [  ]  
- without replacement: [  ]  

(c) \(P(\text{one red and one black marble})\)  
- with replacement: [  ]  
- without replacement: [  ]  

(d) \(P(\text{red on the first draw and black on the second draw})\)  
- with replacement: [  ]  
- without replacement: [  ]
Transcribed Image Text:Assume a jar has five red marbles and three black marbles. Draw out two marbles with and without replacement. Find the requested probabilities. (Enter the probabilities as fractions.) (a) \(P(\text{two red marbles})\) - with replacement: [ ] - without replacement: [ ] (b) \(P(\text{two black marbles})\) - with replacement: [ ] - without replacement: [ ] (c) \(P(\text{one red and one black marble})\) - with replacement: [ ] - without replacement: [ ] (d) \(P(\text{red on the first draw and black on the second draw})\) - with replacement: [ ] - without replacement: [ ]
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