An experiment consists of tossing a pair of dice and then flipping a coin. Use H when the coinis heads, and T when the coin is tails.How many sample points are there in the sample space?a.b. List the elements corresponding to the event A that the sum of numbers on the dice isgreater than or equal to 10 and a head occurs on the coin.c.List the elements corresponding to the event B that same digit and both even numberon the dice occur and a tail occur on the coin;d.What is the probability that the event A will occur?e.What is the probability that the event B will occur?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume Heads and Tails are equally likely. Write down the sample space of outcomes when flipping a fair coin three times. Use the sample space to calculate the probability of exactly 3 Tails in 3 flips. Use the sample space to calculate the probability of at least 1 Head in 3 flips.
You flip five coins and tally up the number of heads and tails. (You do not record the individual 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.
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?
An experiment consist of tossing a coin four times. How many elements are there in the sample space? a. 8 b. 4 c. 16 d. 32
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 D and C are independent events in the same sample space. If we know that Pr [D] = ½ and Pr[C] = ½, Pr[DUC] determine Pr DUC A. 8 35 26 B. 35 9 C. 35 6 D. E. 27 35
Q3. If one dice and a coin are tossed instantaneously, obtain the sample space and sample points for the same. What is the probability that we obtain head and six on the upper face
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?
Let E and F be mutually exclusive events in a sample space S. The odds that E occurs are 3:5 and the odds F occurs are 2:8. If it is known that either E or F occurred, what are the odds that the event was E? The odds that E occurred areDO (Type whole numbers. Simpity your answer.)
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4- In a hospital unit there are 12 nurses and 7 physicians. 6 nurses and 4 physicians are female. If a staff person is selected, find the probability that subject is a nurses or male. Do the sample space.

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