bag of peanuts in their shells contains 182 peanuts. 78 of the shells contain one peanut, 98 of the shells contain two peanuts, and the rest contain three peanuts. Of the shells with one peanut, 19 of them are cracked. Of the shells with two peanuts, 26 of them are cracked. None of the shells with three peanuts are cracked. One peanut shell is randomly selected from the bag. What is the probability the shell is cracked? What is the probability the shell is not cracked and it contains two peanuts? What is the probability the shell is not cracked or it contains two peanuts? What is the probability the shell is not cracked given that it contains two peanuts?

bag of peanuts in their shells contains 182 peanuts. 78 of the shells contain one peanut, 98 of the shells contain two peanuts, and the rest contain three peanuts. Of the shells with one peanut, 19 of them are cracked. Of the shells with two peanuts, 26 of them are cracked. None of the shells with three peanuts are cracked. One peanut shell is randomly selected from the bag. What is the probability the shell is cracked? What is the probability the shell is not cracked and it contains two peanuts? What is the probability the shell is not cracked or it contains two peanuts? What is the probability the shell is not cracked given that it contains two peanuts?

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

A sandwich shop has 5 types of bread, 4 types of cheese, and 3 types of ham. The shop has a pre-made ham and cheese sandwich. What is the probability that a randomly made sandwich has the types of bread, cheese, and ham that you want?
A drawer of socks contains seven black socks, eight blue socks, and nine green socks. Two socks are chosen in the dark. What is the probability that they match?What is the probability that a black pair is chosen?
A small tool‑and‑die shop manufactures kneuter valves. A shipment of 15 valves to a Swedish automobile assembly plant contains three defective valves. Suppose the assembly plant randomly selects four valves from the shipment. What is the probability that the plant will select all three defective valves?
A bag contains 100 bills, 80 of which are authentic bills and 20 of which are counterfeit bills. Bills are drawn randomly without replacement. What's the probability that exactly two counterfeit bills are drawn before the third authentic bill is drawn?
A bag contains 7 red marbles, 5 white marbles, and 10 blue marbles. You draw 3 marbles out at random, without replacement. What is the probability that exactly two of the marbles are red?
A bucket contains 6 yellow softballs and 4 white softballs. Two softballs are selected at random without replacement. What is the probability that the first selected softball is white and the second is yellow?
Carrie buys a bag of cookies that contains 6 chocolate chip cookies, 8 peanut butter cookies, 5 sugar cookies and 5 oatmeal raisin cookies. What is the probability that Carrie randomly selects a peanut butter cookie from the bag, eats it, then randomly selects another peanut butter cookie?
A bag contains four red marbles and ten white marbles. If a sample of three marbles contains at least one white marble, what is the probability that all the marbles in the sample are white?
Michael is to randomly pick between two jars that contain coins. The first jar contains 2 pennies, 3 nickels, and 5 dimes. The second jar contains 7 pennies, 3 nickels, and 4 dimes. After a jar is selected, a coin is then picked from that jar. If the selected coin is a nickel, what is the probability that it came from the second jar?
A man drops 10 black stones and 30 white stones into a bag. what is the probability that a stone drawn out of the bag is a white stone