Suppose that two defective refrigerators have been included in a shipment of six refrigerators. The buyer begins to test the six refrigerators one at a time. a What is the probability that the last defective refrigerator is found on the fourth test? b What is the probability that no more than four refrigerators need to be tested to locate both of the defective refrigerators? c When given that exactly one of the two defective refrigerators has been located in the first two tests, what is the probability that the remaining defective refrigerator is found in the third or fourth test?

Suppose that two defective refrigerators have been included in a shipment of six refrigerators. The buyer begins to test the six refrigerators one at a time. a What is the probability that the last defective refrigerator is found on the fourth test? b What is the probability that no more than four refrigerators need to be tested to locate both of the defective refrigerators? c When given that exactly one of the two defective refrigerators has been located in the first two tests, what is the probability that the remaining defective refrigerator is found in the third or fourth test?

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 box contains red and green balls. Two balls are randomly selected without replacement. The probability of selecting a red and then a green ball is 0.5. The probability of selecting a red ball in the first pick is 0.5. What is the probability of picking a green ball, given that the first ball picked was red?
6. The probability that a randomly chosen adult resident of Bayview city owns a boat is 0.16. The probability that a randomly chosen adult rents an apartment is 0.30. The probability that the adult owns a boat given they rent an apartment is 0.20. Find the probability that a randomly chosen adult rents an apartment and owns a boat.
Your son is a teacher in a state university. As per her class rule, the probability of not getting an additional points for a major examination is 2/3. If there are three engineering students to be selected at random, evaluate the probability that at least one of them gets additional points.
Q4. A shipment of two boxes, each containing eight telephones, is received by a store. Box 1 contains two defective phones and box 2 contains one defective phone. After the boxes are unpacked, and all phones are mixed. Then a phone is selected and that was found to be defective. Find the probability that it came from box 2.
American Airlines' flights from Chicago to Dallas are on time 70 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded. 1.The probability that at least 2 flights are on time is = 2.The probability that at most 4 flights are on time is = 3.The probability that exactly 6 flights are on time is =
A certain disease has a prevalence of in a population. The rate of false 4 positives is 10% and and the rate of false negatives is 5%. If you are exposed to the disease, then probability that you contract it is . You can only contract the disease by sharing food. Suppose that you meet 10 people, that each person tests negative for the disease, and that you share food with each of them exactly three times. What is the probability that you contract the disease?
In a specific type of electronic card, the probability of a transistor being defective is 0.01. Let's assume there are 200 transistors on the electronic card. If there are no defective transistors, the electronic card is considered to be functioning. What is the probability of any electronic card not functioning?
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 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.)
A shipment of 11 microwave ovens contains 2 defective units. A restaurant buys four of these units. What is the probability of the restaurant buying at least three nondefective units? The probability of the restaurant buying at least three nondefective units is (Round to three decimal places as needed.)
Suppose that there is a white urn containing two white balls and three red balls and there is a red urn containing one white ball and two red balls. An experiment consists of selecting at random a ball from the white urn and then (without replacing the first ball) selecting at random a ball from the urn having the color of the first ball. Find the probability that the second ball is red. The probability of the second ball being red is?
Delta Airlines' flights from Boston to Dallas are on time 60 % of the time. Suppose 13 flights are randomly selected, and the number on-time flights is recorded.1.The probability that at least 9 flights are on time is =2.The probability that at most 8 flights are on time is =3.The probability that exactly 12 flights are on time is =