2. ,Two distinct octahedrons (eight-sided die) are rolled. What is the probability that t.e sum of the two numbers is: a. Seven? b. Ten?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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1. The 22nd annual Piston Cup was organized to be a race between 5 representatives from
Team Rusteze and 25 representatives from team Dinoco. The format of the race is that the
time of completion of each participant will be recorded then ranked. What is the probability
that the tor three finishers were:
a.
All from Dinoco?
b.
All from Rusteze?
C.
Two from Dinoco and one from Rusteze?
d.
. One from Dinoco and two from Rusteze?
,Two distinct octahedrons (eight-sided die) are rolled. What is the probability
that te sum of the two numbers is:
a. Seven?
b. Ten?
3. -
successfully makes a free throw 56.5% of the time. Say he decided to shoot two free throws
in practice, assuming that his free throws are independent to one another, what is the
probability that he:
--, Dwight Howard has a free throw percentage of 56.5% which means he
a. makes the first and then misses the second?
b. misses both of his free throws?
c. makes both free throws?
h) Seventy percent of news articles that Juan consumes come from TweetBook
while the rest are from other sources. It is also known that 40% of the news articles are
inaccurate and that 20% of the news articles from TweetBook tend to be inaccurate. If a
news article is randomly selected, what is the probability that it is:
a. an inaccurate news article from TweetBook?
b. from TweetBook if it is inaccurate?
Two archery targets are divided into 3 sections that contains numerical values, as
shown below. When an arrow is shot in a target, it goes to the blue section 55% of the time,
the red section 35% of the time, and the yellow section 10% of the time. Say we shot an
arrow on each target. Let the random variable X represent the sum of the two values where
the arrows landed. What is the probability distribution table of the variable random variable
X?
2.
Transcribed Image Text:1. The 22nd annual Piston Cup was organized to be a race between 5 representatives from Team Rusteze and 25 representatives from team Dinoco. The format of the race is that the time of completion of each participant will be recorded then ranked. What is the probability that the tor three finishers were: a. All from Dinoco? b. All from Rusteze? C. Two from Dinoco and one from Rusteze? d. . One from Dinoco and two from Rusteze? ,Two distinct octahedrons (eight-sided die) are rolled. What is the probability that te sum of the two numbers is: a. Seven? b. Ten? 3. - successfully makes a free throw 56.5% of the time. Say he decided to shoot two free throws in practice, assuming that his free throws are independent to one another, what is the probability that he: --, Dwight Howard has a free throw percentage of 56.5% which means he a. makes the first and then misses the second? b. misses both of his free throws? c. makes both free throws? h) Seventy percent of news articles that Juan consumes come from TweetBook while the rest are from other sources. It is also known that 40% of the news articles are inaccurate and that 20% of the news articles from TweetBook tend to be inaccurate. If a news article is randomly selected, what is the probability that it is: a. an inaccurate news article from TweetBook? b. from TweetBook if it is inaccurate? Two archery targets are divided into 3 sections that contains numerical values, as shown below. When an arrow is shot in a target, it goes to the blue section 55% of the time, the red section 35% of the time, and the yellow section 10% of the time. Say we shot an arrow on each target. Let the random variable X represent the sum of the two values where the arrows landed. What is the probability distribution table of the variable random variable X? 2.
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