In a bag there are 3 six-sided dice. Two of the dice have faces marked 1, 2, 3, 4, 5, 6.The other is a special die with faces marked 1, 2, 3, 5, 5, 5..One die is randomly selected and tossed.(a) What is the probability that the die shows a 5?4***D(b) Given that the die shows a 5, what is the probability that it is the special die?

Answered: One die is randomly selected and…

One die is randomly selected and tossed. (a) What is the probability that the die shows a 5? A (b) Given that the die shows a 5, what is the probability that it is the special die?

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: The Wall Street Journal regularly publishes an article entitled "The Count." In one article, The…

A: "Since you have posted a question with multiple subparts we will provide solutions only to the first…

Q: A single card is drawn from a deck of 52 cards. Find the probability that the card is chosen is as…

A: Solution:Total number of ways of drawing 1 cards from 52 cardsn(S)=52

Q: The following table describes the contents of a bag that contains red, green, blue, pink, and white…

A: The objective of this question is to find the probability of drawing a marble that is neither white…

Q: Cards: Suppose you draw one card from a single deck of cards. A deck has 52 cards consisting of 13…

A: Given that Total cards = 52 Hearts = 13 , Clubs = 13 , Spades = 13 , Diamonds = 13

Q: A die is rolled. Find the probability of the given event. (a) The number showing is a 6; The…

A: The question is about probability Given : If a die is rolled then there would be 6 possible outcomes…

Q: Jameson is really bored. He is rolling a pair of a fair six-sided die. Hw will keep rolling the dice…

A: Let us denote X to be the number of rolls that J does with a pair of die, now, we know that each…

Q: uppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the…

A: In the given question, concept of probability is applied. Probability The ratio of the number of…

Q: An experiment is rolling two dice. What is the probability that the first die is a 3 given that the…

A: An experiment of rolling two dice the outcome is,

Q: #2 A bowl contains 3 yellow beads, 21 green beads, 12 blue beads, and 6 red beads. if 1 bead is…

Q: It just asks: (a) Find the probability of being dealt a "tens over jacks" full house (three tens…

A: (b) The number of different types of full houses: Therefore, there are 3744 different ways to make…

Q: Urn A contains six white balls and three black balls. Urn B contains four white balls and seven…

A: From the given information, For Urn A : 6 - white balls and 3 - black balls. For Urn B : 4 - white…

Q: 10 students are in a row and randomly assigned numbers 1-10. (a) What is the probability that…

A: 10 students are in a row and randomly assigned numbers 1 - 10.We are asked to find,(a) the…

Q: (d) Are the events F and G disjoint (mutually exclusive)?(yes, no) (e) Find P(F or G). (f) What…

Q: # 3 A bowl contains 3 yellow beads, 21 green beads, 12 blue beads, and 6 red beads. If 2 beads are…

Q: 14 In the morning I drink a warm beverage and watch the cars go by on the road in front of my house.…

Q: A new board game uses a twelve-sided die. Suppose the die is rolled once, what is the probability of…

Q: 2. A coin is altered so that the probability of getting a head on every flip is 0.6. Suppose this…

A: Probability : The term "probability" merely refers to the chance of one thing occurring. we will…

Q: Question 16 Suppose a jar contains 10 red marbles and 10 blue marbles. If you reach in the jar and…

Q: Question [6 About 75% of dog owners buy holiday presents for their dogs. Suppose n= 9 dog owners are…

A: Given : p = 0.75 q = 1-p = 1 - 0.75 = 0.25 n = 9

Q: Find the probability of an event E if the odds for E is equal to the odds against

A: Odds of an event:The odds an event is given by the ratio of the probability of the event to its…

Q: Three six-sided dice are rolled. What is the probability that the sum on the dice faces equals 4?

Q: The probability that a company will make a profit this year is 0.76. (a) Find the probability that…

A: given data P(make profit this year) = p = 0.76

Q: The following table describes the contents of a bag that contains red, green, blue, pink, and white…

A: The objective of this question is to find the probability of drawing a marble from a bag that is…

Q: Based on long experience, an airline found that about 2% of the people making reservations on a…

Question

In a bag there are 3 six-sided dice. Two of the dice have faces marked 1, 2, 3, 4, 5, 6.
The other is a special die with faces marked 1, 2, 3, 5, 5, 5..
One die is randomly selected and tossed.
(a) What is the probability that the die shows a 5?
4
***D
(b) Given that the die shows a 5, what is the probability that it is the special die?

Expert Solution

Step 1

Let us define some events

A : The die is fair.

B : The die is special.

E : The die shows a 5.

Given that

2 dies are fair and 1 die is apecial, then

P(A) = 2/3 and P(B) = 1/3

P(E|A) = 1/6 since the die is fair.

P(E|B) = 3/6 = 1/2 since special die has 3 faces marked with 5.

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A and B please
It was found that 70% of cars in a city are sedan and 65% of cars are white in colour. The probability that a car is a sedan, given that it is white in colour, is 60%. (a) What is the probability in percentage that a car is white in colour given that it is a sedan? % Write all answers to 2 decimal places (b) What is the probability in percentage that it is not a sedan nor white in colour? % Check
Suppose a fair die is rolled 18 times. (a) What is the probability p that a 2 will occur any given time the die is rolled? (Enter your probability as a fraction.) p = (b) What is the probability q that a 2 will not occur any given time the die is rolled? (Enter your probability as a fraction.) q = (c) What is n for this experiment? n = (d) What is the probability that a 2 will occur 7 times in the 18 rolls? (Round your answer to three decimal places.)
Suppose you roll a 6-sided die, a 10-sided die, and a 20-sided die. What is the probability that the roll on the 6-sided die is strictly larger than both of the other two dice?
EXAMPLE 5 If 3 balls are "randomly drawn" from a bowl containing 6 white and 5 black balls, what is the probability that one of the balls is white and the other two black?
please answer all thanks !
hiyam has 6 25 fils
Suppose you want to estimate the probability that a patient will develop an infection while hospitalized at a particular hospital. In the past year, this hospital had 8,650 patients, and 812 of them developed an infection. What is the estimated probability that a patient at this hospital will develop an infection? 812 O P(the patient develops an infection) 8650 1 P(the patient develops an infection) = 8650 5738 O P(the patient develops an infection) 8650 O P(the patient develops an infection) = 812 812 O P(the patient develops an infection) 5738
I have a compound probability question.