**Experiment Description:**3. Consider the experiment where you roll a special 4-sided die once and then pick one of two colors (blue, white) of balls from a jar. a. How many different possible outcomes are there? b. List all the possible outcomes.**Explanation:** In this experiment, there are two stages:1. Rolling a 4-sided die, which can land on any of four possible numbers (1, 2, 3, or 4).2. Selecting one of two colored balls, either blue or white.To find the total number of possible outcomes, calculate the product of the possibilities in each stage. Thus, there are 4 possible outcomes from the die roll and 2 possible outcomes from picking a ball, resulting in a total of \(4 \times 2 = 8\) possible outcomes.**List of All Possible Outcomes:**1. (1, Blue)2. (1, White)3. (2, Blue)4. (2, White)5. (3, Blue)6. (3, White)7. (4, Blue)8. (4, White)

Answered: 3. Consider the experiment where you…

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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A coin is tossed and a die is rolled. a. List the outcomes in the sample space. b. Find the probability that the coin comes up heads and the number on the die is odd c. Find the probability that the coin comes up tails and the number on the die is even or both.
In order to conduct an experiment, 4 subjects are randomly selected from a group of 47 subjects. How many different groups of 4 subjects are possible? The number of possible different groups is. (Type a whole number.)
g) The Lady Tasting Tea Experiment. An English lady, Muriel Bristol, claimed that she can tell whether tea or milk was added first to a cup. So as a researcher, you want to test whether she can really tell whether tea or milk was added first. But how would you do it? A possible research design: Give her eight cups, four where tea is added first and the other four where milk is added first, in random order. Then ask her to pick out the four cups where the milk is added first. After you conducted the experiment and collected the data, how do you decide whether she can truly tell the difference or she was just guessing. Our intuition tells us that the more cups she gets correctly, the more likely that she is NOT guessing. "If the Lady is just guessing, the probability of getting it all correctly is 1.4%." Now using your knowledge on combinatorics and probability, explain how this number was calculated? h) Suppose you flip four fair coins. What is the probability that you will get all…
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For Parts A, B, and C, use the experiment below. Show all work. Two fair six-sided dice are rolled. Part A: How many outcomes are in the sample space of the experiment? Part B: What is the probability the sum of the two dice will be greater than or equal to 10? Part C: Laura and Bethany want to decide who fills the car with gasoline for their upcoming trip. Laura will fill the car if the sum of the dice is greater than or equal to 10, and Bethany will fill the car if the sum of the dice is less than 5 If the sum of the dice is any other value, the result is discarded. Does this method provide a fair way to decide who fills the car with gasoline? Provide a supporting explanation.
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