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 PrincipleO B. The Be Systematic PrincipleOC. The Draw Pictures PrincipleO D. The Analogies Principle

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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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Jean and Paul play three games of pool.They are equal in ability. 1. Find the sample space using a tree diagram to show the possibilities Jean and Paul have to win games. 2. What is the probability that either Jean or Paul wins all three games? Write the number of ways either Jean or Paul wins all three games.(Refer to sample space) 3. What is the probability that either Jean or Paul wins two out of three games? Write the number of ways either Jean or Paul wins two out of three games.(Refer to sample space)
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?
The table gives probabilities for results of flipping six coins. Complete parts (a) through (c) below. Click here to view the table. a. What is the probability that all six tosses are the same (all heads or tails)? The probability is (Simplify your answer.) b. What is the probability that the six tosses are not all the same? The probability is (Simplify your answer.) c. What is the probability of getting two heads and four tails when you toss six coins at once? The probability is. (Simplify your answer.) Data table Result 0 heads, 6 tails 1 head, 5 tails 2 heads, 4 tails 3 heads, 3 tails 4 heads, 2 tails 5 heads, 1 tail 6 heads, 0 tails Probability 1 2- 20 25 52 3|w2|| 64 64 16 15 32
8. Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tree diagram represents all possible outcomes. Rob Sonja Jack Ang T-shirt Mug T-shirt Mug T-shirt Mug T-shirt Mug Part A What is the probability that Ang wins and is given a mug? Explain. Part B Will the probability change if the prize were chosen first? Explain.
2. For the rug below, decide which color you would predict as most likely to be hit. For each color, find the probability of being hit. Most likely color. Probabilities:
Two people are going to buy cars. The cars they want come in green, silver, red, black, or white. How many outcomes are in the sample space. (HINT: write it out, then count.)
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.)
The accompanying figure shows the 36 equally likely outcomes when two balanced dice are rolled. Complete parts (a) through (d) below. Click the icon to view the figure that shows the 36 equally likely outcomes when two balanced dice are rolled. a. Determine the probability that the sum of the dice is 12. The probability that the sum of the dice is 12 is (Type an integer or a decimal. Round to three decimal places as needed.) b. Determine the probability that the sum of the dice is odd. The probability that the sum of the dice is odd is (Type an integer or a decimal. Round to three decimal places as needed.) c. Determine the probability that the sum of the dice is 4 or 11. The probability that the sum of the dice is 4 or 11 is (Type an integer or a decimal. Round to three decimal places as needed.) d. Determine the probability that the sum of the dice is 5, 6, or 8. The probability that the sum of the dice is 5, 6, or 8 is (Type an integer or a decimal. Round to three decimal places as…
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.
2. Three guests to a tea party sit down in three chairs. Then the host re-arranges them according to a pre-made seating chart What is the probability that all of the guests may stay in their chairs? (b) What is the probability that at least one guest may stay in her chair? Hint: Just write down all the sample points. Don't try to use counting rules.
a. Find the sample space using a tree diagram to show the possibilities Elaine has to choose a mattress. b. What is the probability that Elaine chooses a memory foam-topped mattress? Write the number of ways Elaine chooses a memory foam-topped mattress. (Refer to sample space)
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 ’.

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