2. I roll two fair, 6-sided dice and tell you that one of the dice shows a 3 and the other does not. Given this, what is the probablility that (a) the dice add up to 5? (b) the dice add up to 6?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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1
2. I roll two fair, 6-sided dice and tell you that one of the dice shows a 3 and the other does not. Given
this, what is the probablility that
(a) the dice add up to 5?
(b) the dice add up to 6?
3. Boof section 6.4 Exercise 14
4. Book section 6.4 Exercise 25
5. Book section 6.4 Exercise 26
6. 1 roll a fair 6-sided die.
(a) Are the events "rolling a 6" and "rolling an odd number" independent?
(b) Are the events "rolling a 5 or a 6" and "rolling an odd number" independent?
7. Book section 6.4 Exercise 31
8. Book section 6.4 Exercise 59
62
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Transcribed Image Text:1 2. I roll two fair, 6-sided dice and tell you that one of the dice shows a 3 and the other does not. Given this, what is the probablility that (a) the dice add up to 5? (b) the dice add up to 6? 3. Boof section 6.4 Exercise 14 4. Book section 6.4 Exercise 25 5. Book section 6.4 Exercise 26 6. 1 roll a fair 6-sided die. (a) Are the events "rolling a 6" and "rolling an odd number" independent? (b) Are the events "rolling a 5 or a 6" and "rolling an odd number" independent? 7. Book section 6.4 Exercise 31 8. Book section 6.4 Exercise 59 62 @ 2 #2 W S # 3 80 E $ 4 393 F R F LL *5 % 4: T G ^ 6 4: Y H L2⁰ & 7 * . 00 8 J DE F ( 9 K DO O ) 0 L 24 P I 33 { +11
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