If you draw a green marble from the third bag, you are given an entry- level position in the organization. Otherwise, you are immediately promoted to super-spy. (a) Draw a tree diagram that represents this experiment, including probabilities. (b) What is the probability that someone will become a super-spy? (c) What is the probability that someone will get a nice hat?

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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A government program is looking to
recruit and promote lucky people.
They test people's luck by having
them draw marbles from three bags.
The first bag has 1 red and 9 green
marbles, the second bag has 1 red
and 99 green marbles, the third bag
has 1 red and 999 green marbles.
If you draw green marble from the
first bag, you are asked politely to
leave. Otherwise you draw from the
second bag.
Transcribed Image Text:A government program is looking to recruit and promote lucky people. They test people's luck by having them draw marbles from three bags. The first bag has 1 red and 9 green marbles, the second bag has 1 red and 99 green marbles, the third bag has 1 red and 999 green marbles. If you draw green marble from the first bag, you are asked politely to leave. Otherwise you draw from the second bag.
If you draw a green marble from the
third bag, you are given an entry-
level position in the organization.
Otherwise, you are immediately
promoted to super-spy.
(a) Draw a tree diagram that
represents this experiment, including
probabilities.
(b) What is the probability that
someone will become a super-spy?
(c) What is the probability that
someone will get a nice hat?
Transcribed Image Text:If you draw a green marble from the third bag, you are given an entry- level position in the organization. Otherwise, you are immediately promoted to super-spy. (a) Draw a tree diagram that represents this experiment, including probabilities. (b) What is the probability that someone will become a super-spy? (c) What is the probability that someone will get a nice hat?
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