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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An experiment consists of tossing a pair of dice and then flipping a coin. Use H when the coin is heads, and I when the coin is tails. How many sample points are there in the sample space? а. List the elements corresponding to the event A that the sum of numbers on the dice is greater than or equal to 10 and a head occurs on the coin. b. C. List the elements corresponding to the event B that same digit and both even number on the dice occur and a tail occur on the coin; d. What is the probability that the event A will occur? What is the probability that the event B will occur? е.
Consider an experiment of tossing a pair of dice. Let the outcome be represented by an ordered pair, where the first component is the number on the first die and the second component is the number on the other die. List the following a. The sample space S b. The event A that has number 3 that comes up on either die c. The event B that the sum of two numbers is less than 8 d. The event C that the two numbers is the same e. The event ?∪? f. The event ?∩?
Assume that a die is rolled 3 times. If the result is even, a 0 is recorded. Otherwise, the number is recorded. How many possible outcomes are there in the sample space?
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 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.
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
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.)
Below is a sample space of possible outcomes for flipping a coin 3 times. Heads ННН Heads Tails ННТ Heads Heads HTH Tails Tails HTT Heads THH Heads Tails THT Tails Heads TTH Tails Tails TTT A compound event E occurs when any of the highlighted outcomes in the sample space occurs. What is the probability of E? A. 1 4 В. 3 C. 1 2 D. 3 3

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