A bag contains 7 red marbles, 5 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. (This is an excellent thinking problem. Try to figure out a good way to find these probabilities.) {Give decimals accurate to at least 5 decimal places, as needed.} What is the probability that all the marbles are red? The probability that all the marbles are red is   . What is the probability that exactly two of the marbles are red? The probability that exactly two of the marbles are red is   . What is the probability that none of the marbles are red? The probability of picking no red marbles is   .

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 5SE: The union of two sets is defined as a set of elements that are present in at least one of the sets....
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A bag contains 7 red marbles, 5 white marbles, and 7 blue marbles. You draw 3 marbles out at random, without replacement. (This is an excellent thinking problem. Try to figure out a good way to find these probabilities.)

{Give decimals accurate to at least 5 decimal places, as needed.}

What is the probability that all the marbles are red?
The probability that all the marbles are red is   .

What is the probability that exactly two of the marbles are red?
The probability that exactly two of the marbles are red is   .

What is the probability that none of the marbles are red?
The probability of picking no red marbles is   .

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