12. (a) A loaded die has probabilities , å of showing 1, 2, 3, 4, 5, 6. What is the probability of throwing two 3's in succession? (Ъ) What is the probability of throwing a 4 the first time and not a 4 the second time with a die loaded as in (a)? (c) numbers on the faces is greater than or equal to 10, what is the probability that both are 5's? If two dice loaded as in (a) are thrown, and we know that the sum of the (d) How many times must we throw a die loaded as in (a) to have probability greater than - of getting an ace? (e) A die, loaded as in (a), is thrown twice. What is the probability that the number on the die is even the first time > 4 the second time?
12. (a) A loaded die has probabilities , å of showing 1, 2, 3, 4, 5, 6. What is the probability of throwing two 3's in succession? (Ъ) What is the probability of throwing a 4 the first time and not a 4 the second time with a die loaded as in (a)? (c) numbers on the faces is greater than or equal to 10, what is the probability that both are 5's? If two dice loaded as in (a) are thrown, and we know that the sum of the (d) How many times must we throw a die loaded as in (a) to have probability greater than - of getting an ace? (e) A die, loaded as in (a), is thrown twice. What is the probability that the number on the die is even the first time > 4 the second time?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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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Transcribed Image Text:12.
(a)
A loaded die has probabilities , å of showing 1, 2, 3, 4, 5, 6.
What is the probability of throwing two 3's in succession?
(Ъ)
What is the probability of throwing a 4 the first time and not a 4 the second
time with a die loaded as in (a)?
(c)
numbers on the faces is greater than or equal to 10, what is the probability
that both are 5's?
If two dice loaded as in (a) are thrown, and we know that the sum of the
(d)
How many times must we throw a die loaded as in (a) to have probability
greater than - of getting an ace?
(e) A die, loaded as in (a), is thrown twice. What is the probability that the
number on the die is even the first time > 4 the second time?
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