Suppose there are 8 lightbulbs, 5 of which are bad, in a box. If the light bulbs are chosen at random, what is the probability that: a) the first three you chose are all good? b) at least one of the first three is good? c) you must pick four bulbs to find one that is good?

Suppose there are 8 lightbulbs, 5 of which are bad, in a box. If the light bulbs are chosen at random, what is the probability that: a) the first three you chose are all good? b) at least one of the first three is good? c) you must pick four bulbs to find one that is good?

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

Related questions

Q: Heidi takes a true/false quiz with 6 questions, all equally likely to be either true or false. What…

A: Given The total number of questions are 6. (a) exactly one question wrong. (b) answered first three…

Q: Consider two Urns A and B. Urn A consists of 2 black balls and 3 white balls, while urn B consists…

Q: A junk box in your room contains fourteen old batteries, eight of which are totally dead. You start…

Q: Suppose you roll a six-sided die, with sides numbered 1, 2, 3, 4, 5, and 6, and with each number…

A: a) All possible outcomes= 1, 2, 3, 4, 5, and 6 So total 6 possible outcomes. The possible outcomes…

Q: 1) A bowl contains 6 berries, 2 are red, one is green, and the remaining is black in color. a) If 2…

A: The probability is the ratio of favorable outcomes of the event to the total number of outcomes. d)…

Q: A) A die is tossed. if the number is odd, what is the probability that it is a prime? B) A…

A: The objective of the problem is to find the probability that it is a odd prime number.

Q: ملاحظة: اجب عن فرعين Q1) A card is drawn from deck. Find the probability of: a) getting a jack. b)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A financial services committee had 60 members, of which 8 were women. If 7 members are selected at…

A: given data 8 women 52 men ________________ 60 total members select group of 7 at random from the…

Q: A multiple-choice quiz contains 10 questions. Each question has one correct answer from the 4…

A: Given that there are 4 possible choices. So the probability of getting the correct answer is =…

Q: Five percent of workers in a certain city use public transportation to get work. If you randomly…

A: We have given that Given thatp = 5% = 0.05n = 250

Q: You are dealt a hand of three cards, one at a time. Find the probability of each of the following.…

Q: 17) A shipment of twelve smartphones contains seven with cracked screens. If 18) A small pond…

A: Given that, 17. A shipment of twelve smartphones contains seven with cracked screens. If sold in a…

Q: Q1) There is a deck of 20 cards numbered 1 through 20. You draw 4 cards with replacement (i.e. you…

A: Q1) a) A deck of 20 cards numbered 1 through 20 is considered. The number of possible outcomes are…

Q: Suppose the probability a randomly selected person prefers The Dark Knight over Avengers: Endgame is…

A: Given Data: The probability a randomly selected person prefers The Dark Knight over Avengers:…

Q: eighteen old batteries, seven of which are totally dead. a) The first two you choose are both good.…

A: [ Note: Since you have posted a question with multiple subparts, we will solve the first three…

Q: If you draw one card at random from a deck of 12 cards numbered 1 through 12, inclusive, what is the…

A: Given, If you draw one card at random from a deck of 12 cards numbered 1 through 12,inclusive. The…

Q: There are 30 blue phones and 50 red phones in a store. An employee chose 10 phones at random. Find…

A: It is given that the store has 30 blue and 50 red phones.In this case, each of the 10 randomly…

Q: There is a deck of 20 cards numbered 1 through 20. You draw 4 cards with replacement (i.e. you put…

A: Total number of cards are 20. The number of drawn cards are 4.

Q: Suppose we pick two cards from a standard deck of cards, without replacement. a) Find the…

A: here given , Suppose we pick two cards from a standard deck of cards, without replacement. there…

Q: .If a deck of cards consists of 52 cards, comprising 4 suits of 13 cards, and one card is drawn at…

A: in 52 cars deck 26 cards are black 26 are red out of 4 jack 2 are red and 2 are black

Q: 1. From a deck of 52 cards, 2 cards will be drawn together. Find the probability that they will…

A: We know that There are 52 card in the deck in which they divided into two color i.e red(26) and…

Q: A single ball is drawn at random from a box containing 10 red balls, 3 white balls, and 4 blue…

A: It is given that the A box containing 10 red balls, 3 white balls, and 4 blue balls i.e. there are…

Q: a) A car show room has 3 directors,9 security guards and 15 salesmen. On a certain day a meeting is…

A: This is a basic probability question.

Q: There are 8 socks in your drawer: 4 black and 4 red. You take 3 of them with you in the dark. Which…

Q: A box contains 100 agricultural products, 20 of which are defective. Three products are selected at…

A: We have to find given probability

Q: a group made up of 16 boys and 18 girls, we choose two random people. What is the probability that:…

Q: Suppose we represent with the letters B and b the genes that determine the color of a person's eyes.…

A: We have to find out the probability using single probability theories.

Q: Five red and ten white marbles are included in the box. If 8 marbles are picked at random and no…

Q: Suppose that 8 cards, of which four are red, two are green and two are blue, are placed at random in…

A: We have given that 8 cards, of which 4 are Red, 2 are Green and 2 are Blue, are placed at random in…

Q: In roulette, a wheel with 38 numbers is spun. Of these 38 numbers, 18 are red, 18 are black and the…

Q: a) Suppose three people are in a room. What is the probability that there is at least one shared…

A: Here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION HERE use basic Probability Rule…

Q: 2. There are 230 birds in a zoo. 90 birds are male with brown eyes and 70 birds are female with…

Q: 2. A bag contains 30 black and 40 white balls. What is: a) the probability of grabbing a white ball?…

Question

Suppose there are 8 lightbulbs, 5 of which are bad, in a box. If the light bulbs are chosen at random, what is the probability that:

a) the first three you chose are all good?

b) at least one of the first three is good?

c) you must pick four bulbs to find one that is good?

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given information

VIEW

Step 2: The probability that the first three chosen are all good

VIEW

Step 3: The probability that at least one of the first three is good

VIEW

Step 4: The probability that you must pick four bulbs to find one that is good

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 38 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A student is taking a multiple-choice quiz in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions any hence, all her answer are guesses. There are five multiple-choice questions on the exam. What is the probability that she will get:a.) no questions correct? b.) at least one question correct? c.) no more than two questions correct?
28. A box contains 5 green, 3 blue, and 2 yellow marbles. Two marbles are chosen at random, without replacement. What is the probability that: a) the second one chosen is blue given the first is yellow? b) the second one chosen is green given the first is green? c) both are the same color? d) a green or a yellow is chosen? e) no yellow is chosen?
A player is dealt 3 cards from a standard 52-card deck. Determine the probability of being dealt two of a kind (such as two aces or two kings) by answering questions a through d. ... a) How many ways can 3 cards be selected from a 52-card deck? There are ways that 3 cards can be selected from a 52-card deck. (Type a whole number.) b) Each deck contains 4 twos, 4 threes, and so on. How many ways can two of the same card be selected from the deck? There are ways that two of the same card can be selected from the deck. (Type a whole number.) c) The remaining card must be different from the 2 chosen. After selecting the two of a kind, there are 12 different ranks of cards remaining in the deck that can be chosen. Of the 12 ranks remaining, the player chooses 1 of them and then selects one of the 4 cards in the chosen rank. How many ways can the player select the remaining card? There are ways the player can select the remaining card. (Type a whole number.)
A deck consists of 32 cards with 2 suits labelled A and B, and numbered ranks from 1 to 16. That is, there are 16 cards of each suit and 2 cards of each rank. A single card is chosen at random from the deck. What is the probability of it being rank 7 given that it is suit b? And What is the probability of it being suit b given that it has rank 7?
A safe has a five-digit code. a) How many different codes are possible?b) How many different codes are possible if the digits can’t be repeated?c) Suppose you know that the code consists of the digits 0, 2, 5, 8, and 9, but you cannotremember in which order they go. What is the probability that you guess the correct code onthe first try?
6.) A mathematics class has 16 engineers majors, 12 science majors, and 4 liberal artsmajors.a.) What is the probability that a student selected at random will be a science orliberal arts major?b.) What is the probability that a student selected at random will be anengineering or science major?c.) 5 of the engineering students, 6 or the science majors, and 2 of the liberal artsmajors are female. What is the probability that a student selected at random is anengineering major or a female?
I get to draw two buttons from a bag with 3 Cardinal and 6 Gold buttons (without replacement, order does not matter).What is the probability that I get one of each color? a. 1/2 b. 5/9 c. 4/9 d. 1/3 e. None of the other answers is correct.
A jar has 2 red marbles 2 blue marbles. Two marbles are chosen from the jar without replacement. a) The probability that the marbles are the same color is b) The probability that at least one of the marbles is red is c) The probability that the marbles are NOT the same color is
A box contains 100 agricultural products, 30 of which are defective. Three products are selected at random without replacement from the box. i) Find the probability that the first one is defective. ii)Find the probability of third one is defective given that the first two are good. iii) Find the probability of three defective.