A bag contains 9 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities. The probability that all the marbles are red is The probability that none of the marbles are red is

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A bag contains 9 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random,
without replacement. Find the following probabilities.
The probability that all the marbles are red is
The probability that none of the marbles are red is
Transcribed Image Text:A bag contains 9 red marbles, 5 white marbles, and 8 blue marbles. You draw 3 marbles out at random, without replacement. Find the following probabilities. The probability that all the marbles are red is The probability that none of the marbles are red is
Suppose a math class contains 42 students. There are 20 females (five of whom speak Spanish) and 22
males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places.
1. What is the probability that a randomly selected student speaks Spanish, given that the student is
5
female?
Or = 0.25
20
2. What is the probability that a randomly selected student does not speak Spanish, given that the student
is male?
20
22
✓ 08 = 0.9090909090909091
3. What percent of Spanish speaking students are male? Give answer as a decimal. 28.57 x = 28.57
4. If someone does not speak Spanish what is the probability they are female?
0.42857142857142855
15
35
=
Transcribed Image Text:Suppose a math class contains 42 students. There are 20 females (five of whom speak Spanish) and 22 males (two of whom speak Spanish). Give all answers as decimals to at least two decimal places. 1. What is the probability that a randomly selected student speaks Spanish, given that the student is 5 female? Or = 0.25 20 2. What is the probability that a randomly selected student does not speak Spanish, given that the student is male? 20 22 ✓ 08 = 0.9090909090909091 3. What percent of Spanish speaking students are male? Give answer as a decimal. 28.57 x = 28.57 4. If someone does not speak Spanish what is the probability they are female? 0.42857142857142855 15 35 =
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Given,no.of red marbles=9no.of white marbles=5no.of blue marbles=8Total no.of marbles=22

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