QUESTION 5In the video game Animal Crossing: New Horizons, there are six types of fruit that grow on the island:peaches, cherries, apples, oranges, coconuts, and pears. Suppose two islanders each offers you apiece of fruit at random. What is the probability that both islanders offered you an orange?o 1130O none of these choiceso 1136o 136

The probability of selecting a specific fruit at random is 1/6,

Answered: QUESTION 5 In the video game Animal…

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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A person has two drawers that contain socks. One drawer only has one blue sock, one red sock and one white sock in it. The other drawer only has one blue sock, one black sock, one white sock, one green sock and one yellow sock in it. (no drawer has a pair of matching socks.) One day the person decided to randomly pick one sock out of each drawer. a. List the possible selectons they can get. b. Find the probability that they will select a a pair of matching socks. c. Find the probability that their selection will contain a red sock or a green sock.
Question 2 Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning. A computer is used to randomly select a number between 1 and 1000. Event A is selecting a number greater than 600. O 1; Simple event because it is an event that consists of a single outcome. O 400; Simple event because only one number is selected. O 600; Not a simple event because it is an event that consists of more than a single outcome. O 400; Not a simple event because it is an event that consists of more than a single outcome.
3. Two coins are tossed 700 times, and the results are Two heads: 205 times One head: 325 times No head: 170 times Find the probability of each event to occur? 4. If P(A)-7/13, P(B)-9/13 and P(ANB)-4/13, evaluate P(A/B)? 5. Two dice are rolled, find the probability that the sum of the number of both the dice is: A.Equal to 2 B.Equal to 5 C.Less than 12 6. Let X be the number of Tell in four tosses of a fair coin a) Construct the Probability mass function (pf) of X. b) Find the mean number of Tell and the variance c) Find P(0 2. (i)Determine the corresponding p.d.f. (f(x)). (ii) Determine the constant c. 8. If the range and the smallest value of a set of data are 36.8 and 13.4 respectively, then find the largest value 9.Find the probability of getting at least 5 times head-on tossing an unbiased coin for 6 times by using the binomial distribution
I want to confirm if my answers are correct and if not, how would I approach this problem?
Suppose you have an urn containing 3 red and 3 blue balls. You draw three balls at random. On each draw, if the ball is red you set it aside and if the ball is blue you put it back in the urn. What is the probability that the third draw is blue? (If you get a blue ball it counts as a draw even though you put it back in the urn.) O a. 1/125 O b. 267/500 O . 27/136 O d. 27/125 O e. 121/200
Urn A has five mauve marbles, seven burnt sienna marbles, and three puce marbles. Urn B has seven mauve marbles, two burnt sienna marbles, and three puce marbles. First, a random marble is transferred from Urn A to Urn B. Then two marbles are drawn from Urn B simultaneously. What is the probability that the two marbles are the same color?
2 d out of n In manufacturing company, there are three different manufacturing operation: Machining, Polishing, and Painting. There are 8 machine tools for machining, 10 polishing tools, and 12 painting tools. If 5 operation randomly selected what is the probability that all of them have the same type of manufacturing operation? O a. O b. 0.41 non of the answers 0.002 O c. O d. 0.7
Ernie has a bag of candy that contains 8 peppermint patties and 12 caramels. If he reaches into the bag and pulls out one bar and then a second bar at random, what is the probability that they will both be peppermint patties? O 2/3 2/5 7/19 O 14/95
Suppose I have a pair of standard, six-sided dice. For a single roll of the two dice, what is the probability that I roll doubles, which is when the results of the two dice are the same? Examples: 1 & 1, 2 & 2, ..., 6 & 6 You may assume that the dice and fair and that the two dice are independent.
2 dice, one green and one black, are rolled once. Which of the following events are independent?A. E = A 2 is rolled on the green die, F = A sum of 8 is rolled on both dice.B. E = A sum of 3 is rolled on both dice, F = A 4 is rolled on the black die.C. E = A 2 is rolled on the green die, F = A sum of 7 is rolled on both dice.D. E = A 3 is rolled on the green die, F = A 5 is rolled on the black die.
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?
Questions 16 - 17 refer to the problem below. A container contains different medications in the form of tablets. Four are Paracetamol, five are antacids and 3 are laxatives. A child randomly selects two tablets, one after the other without replacement. 16. What is the probability that both tablets are antacids? A. 0.08 B. 0.15 C. 0.12 D. 0.02 17. What is the probability that one tablet is a laxative and the other is Paracetamol? A. 0.15 В. 0.12 C. 0.25 D. 0.18

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