You flip five coins and tally up the number of heads and tails. (You do not record the individu coin tosses.) a.) Describe the elements of the sample space in this experiment. (There should be 6.) b.) Let A be the event "a majority of the coins landed heads". List the elements of A. c.) Give an example of an event B in this experiment which is disjoint from A.

You flip five coins and tally up the number of heads and tails. (You do not record the individu coin tosses.) a.) Describe the elements of the sample space in this experiment. (There should be 6.) b.) Let A be the event "a majority of the coins landed heads". List the elements of A. c.) Give an example of an event B in this experiment which is disjoint from A.

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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the coin, then spin the spinner. a. List the 10 outcomes in the sample space. The first one has been done for you. Coin Flip Heads Heads Tarlss Heads Heads Taids Heads Tails Taits Heads Spin 1 e. 2 5 1 3 5 2 4 3 1 Let A = the coin comes up heads. b. Find P (A) C. Does the coin flip affect the spinner? d. Multiply P (A) by P (B). events. f. Does P(An B) = P(A) * P(B)? If so, this is evidence that A & B are NOT independent. 2 sides, H & T no Let B = the spinner lands on an odd number c. Find P (B) 5 sections numbered 1-5 YERT Therefore, we say that events A & B are Look at the sample space and find P (A and B). This means the same thing as P(An B). If not, then we know that the two events are Event 2: Spin the spinner 3 times in a row. a. Find the probability that you get these three spins: 2, 2, 2. b. Find the probability that you get NO 2s in the three spins. c. Find the probability that you get "at least one 2" in your three spins. d. Changing the event slightly here...what is the…
Direction: Suppose that A and B are denote as event 1 and event 2 respectively and S denote as Sample Space, give explanation in the scenario below; What do you mean by “The union of the two events A and B, denoted by the symbol A U B” Explain.
Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Draw a tree diagram. Determining a person's grade (freshman (F), sophmore (So), junior (J), senior (Se)) and gender (male (M), female (F)) Identify the sample space. O A. {FM, FF, SOM, SoF, JM, JF, SeM, SeF} B. {FM, FF, FJ, SOM, SoF, SoJ, JM, JF, JJ} C. {FM, FF, SOM, SoF, JM, JF, SeM, SeF, SoM, SoF} D. {FM, FF, SOM, SoF, JM, JF} There are Choose the correct tree diagram below. O A. outcomes in the sample space. O C. F So F J So Se M F M F M F M F M F So Se M F M F M F M F B. D. F So M F J M F F So J J M F J M F M F M F
Question 1Suppose we have an experiment that consists of flipping a coin 5 times.i. Find the total number for the outcomes for this experiment? ii. List all the elements in the sample space?iii. Find the probability that tails will be occurring at least 2 times on three coin flips?iv. Find the probability of getting all Head and all Tail on five coin flips?Question 2A bag has 10 blue balls and 5 red balls. 2 balls are to be drawn successively and without replacement. What is the probability that the first ball is red and the second is blue?Question 3Two coins are loaded so that each comes up heads 80% of the time when tossed. If the coins are both tossed simultaneously, i. What probability will the result be both are Tail?ii. What probability will the result give Head and Tail?
A game has two four-sided dice having the numbers 7, 8, 9, and 2 on their faces. Outcomes in the sample space are pairs such as (7,8) and (2,2). a. How many elements are in the sample space? b. Express the event "the total showing is even" as a set. c. What is the probability that the total showing is even? d. What is the probability that the total showing is greater than 14? ... Identify the problem solving method that should be used. Choose the correct answer below. A. The Choose Good Names for Unknown Strategies Principle O B. The Be Systematic Principle OC. The Draw Pictures Principle O D. The Analogies Principle
The sample space listing the eight simple events that are possible when a couple has three children is {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. After identifying the sample space for a couple having four children, find the probability of getting onegirland threeboys (in any order). A. Identify the sample space for a couple having four children. ? (Use a comma to separate answers as needed.) B. Find the probability of getting one girl and three boys (in any order)? (Typean integer or a decimal. Do not round.)
Suppose we toss a fair coin, with a head (H) on one side and a tail (T) on the other side, four times. a. Specify the sample space. b. Find the probability of obtaining exactly four heads. c. Find the probability of obtaining at least three head.
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Mai chooses a letter at random from the word DREAM, then flips a fair coin. 1. Write all the possible outcomes in the sample space. 2. What is the probability that Mai chooses the letter D and the coin lands on tails?
A bag contains 3 colored balls: one green, one red, and one white. Two balls will be picked consecutively, and the color recorded. A. Define the sample space S by enumerating all its elements. B. Let F be the event of picking a red ball. List the outcomes in F. C. Let E be the event of picking a white ball. List the outcomes in E. D. Are F and E mutually exclusive? Explain your answer. E. Define and list the outcomes in F ∪ E. F. Define and list the outcomes in F ∩ E. G. Define and list the outcomes in F ’.