22. A bowl contains twenty cherries, exactly fifteen of which have had their stones removed. Agreedy pig eats five whole cherries, picked at random, without remarking on the presence or absenceof stones. Subsequently, a cherry is picked randomly from the remaining fifteen.(a) What is the probability that this cherry contains a stone?(b) Given that this cherry contains a stone, what is the probability that the pig consumed at least onestone?

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Answered: 22. A bowl contains twenty cherries,…

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...

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Similar questions

10. In a group of 60 employees, 25 are managers. If a team of 8 employees is randomly selected, what is the probability that exactly 3 of them are managers?
2. Two dice are rolled and their sum recorded. What is the probability of rolling a sum that is less than 7 or a sum that is divisible by 3?
3. An urn contains 10 red, 15 blue and 25 green balls. (a) Eight balls are chosen without replacement. What is the probability exactly 4 of the chosen balls are green? (b) Now four balls are chosen from the urn without replacement. What is the probability the first chosen ball is red, the second chose ball is green, the third chosen ball is green and the fourth chosen ball is blue?
1. A. Please answer on a paper and step by step. A candy dish contains 5 blue and 3 red candies. A child reaches up and selects three candies withoutlooking. What is the probability that there are 2 blue and 1 red candies in the selection?
A jar contains four coins: a 10-cent, a 25-cent, a 1-peso, a 5-peso. Three coins are randomly selected from the jar. List the simple events in S. What is the probability that the selection will contain 1-peso coin?
6.) The National Spinal Cord Injury Statistical Center reports that 45% of all spinal cord injuries are caused by vehicle crashes. Suppose that we choose 15 spinal cord injuries at random.a.) What is the probability that 8 of the chosen injuries are from vehicle crashes? (Usethe formula)b.) What is the probability that fewer than 5 of the chosen injuries are from vehiclecrashes? (Use the calculator)c.) What is the probability that more than 9 of the chosen injuries are from vehiclecrashes? (Use the calculator)d.) What is the probability that between 4 and 10 of the chosen injuries are from vehiclecrashes? (Use the calculator)e.) What is the expected number of such injuries to result from vehicle crashes?f.) What is the standard deviation of the number of injuries resulting from vehiclecrashes?
2. A fair six-sided die is tossed twice. What is the probability that a five will occur at least once?
You and two best friends of yours are invited to a party of 10 people (including the host). a. Suppose the 10 people are randomly seated along the dining table. What's the probability that you and your best friends happen to sit next to each other, i.e., no one sits in between any of the three of you? b. After the dinner, four people are drawn randomly to play video games. What's the probability that at least one of your best friends are picked?
2. A box contains 12 mushrooms, 8 which are poisonous. If you select 5 of them at random, what is the probability that exactly 4 of them are poisonous? (E
4. Answer the following: (a) A day of the week is selected at random. What is the probability that it is a weekend day? (b) A single card is drawn from a deck of 52 cards. What is the probability that it is a king or a club? (c). The probability of rain tomorrow is 0.7. The probability that it will snow is 0.5. The probability of both rain and snow is 0.3. What is the probability that it will either rain or snow tomorrow?
19. A package of pens contains the following colors pens: 1 black, 5 red, 6 green, and 4 blue. One pen is selected at random from the package. What is the probability that the selected pen is neither red nor blue? Round your answer to two decimal places. Please show work

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