We shall let the sample space consist of all subsets (unordered) of 10 out of the 24 light bulbs in the(24such subsets. The number of subsets that contain the two defective bulbs is the10box. There arenumber of subsets of size 8 out of the other 22 bulbs,22so the probability we want is8

Answered: Image /qna-images/answer/31c9d5c9-dbe1-45a9-8a7e-942507c155ad.jpg

Answered: We shall let the sample space consist…

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...

See similar textbooks

Similar questions

The state runs a lottery once every week in which six numbers are randomly selected from 23 without replacement. A player chooses six numbers before the state's sample is selected. The player wins if all 6 numbers match. What is the probability that exactly 3 of the 6 numbers chosen by a player appear in the state's sample? Report answer to 3 decimal places.
A couple plans to have four children. The father notes that the sample space for the number of girls the couple can have is 0, 1, 2, 3, and 4. He goes on to say that since there are five outcomes in the sample space, and since each child is eaually iikely to be a boy or girl, all five outcomes must be equally ieiy. Therefore, the probability of all four children being girls is 1/5. Explain the flaw in his reasoning. The argument is only correct if each child is equally likely to be a boy or girl. O The outcomes are not equally likely. O The sample space has less than 5 possible outcomes. O The sample space has more than 5 possible outcomes.
A couple has 3 children. Write out the sample space of genders for their children in order of birth, and find the probability that they have exactly 2 boys. (Assume that boys and girls are equallylikely.)
Suppose that a bag contains one white chip and two red chips. Chips are going to be selected at random from the bag with replacement. What is the probability of selecting a white chip from the bag? What is the probability of selecting a red chip from the bag? Are the outcomes of selecting a white chip and selecting a red chip equally likely? Two chips are selected from the bag with replacement. Is the probability of selecting two white chips greater than, equal to, or less than the probability of selecting two red chips? Explain your answer.
2. If there are 5 pieces of gum and 3 candies in a box and 3 of them are taken at random, generate the probability distribution for the number of candies that came out in the sample.
An urn contains 5 green, 6 blue, and 4 red balls. You take 3 balls out of the urn, one after the other, without replacement. Compute the probability that the third ball is red given that the first two balls are green.
The Math teacher gave the class a set of 12 review problems and toldthem that the midterm exam would consist of 6 of the 12 problems selected at random.If Ana memorized the solutions to 8 of the 12 problems but could not solve any ofthe other 4 problems, what is the probability that she got 4 or more problems correctin the exam?
A shipment contains 12 igneous, 10 sedimentary, and 10 metamorphic rocks. If 5 rocks are selected at random, find the probability that exactly 3 are sedimentary. The probability that exactly 3 of the rocks are sedimentary is (Round to four decimal places as needed.)
Suppose repetitions are not allowed. Randomly pick up a three-digit number that is formed from the five digits: 1,2,3,4,5. What is the probability that this number exceeds 300?
A committee of three people is to be randomly selected from a group of 20 men and 17 women. What is the probability that all three people will be women?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

We shall let the sample space consist of all subsets (unordered) of 10 out of the 24 light bulbs in the 24 box. There are such subsets. The number of subsets that contain the two defective bulbs is the 10 number of subsets of size 8 out of the other 22 bulbs, 22 so the probability we want is