A coin will be tossed twice, and each toss will be recorded as heads (\(H\)) or tails (\(T\)).1. **Task**: Provide the sample space describing all possible outcomes.2. **Task**: List all the outcomes for the event that the second toss is tails.- Use the format \(HT\) to denote that the first toss is heads and the second is tails.- Separate multiple elements in the set with commas.**Sample Space:**The sample space represents all possible outcomes of the two coin tosses: - \(HH\): Both tosses result in heads.- \(HT\): First toss is heads, second toss is tails.- \(TH\): First toss is tails, second toss is heads.- \(TT\): Both tosses result in tails.Write the sample space as:\[ \{HH, HT, TH, TT\} \]**Event that the Second Toss is Tails:**This event includes outcomes where the second coin toss results in tails:- \(HT\): First toss is heads, second toss is tails.- \(TT\): First toss is tails, second toss is tails.Write the outcomes for this event as:\[ \{HT, TT\} \]

We have given that A coin is tossed twice, and each outcome recorded as (H) and (T). Total possible…

Answered: A coin will be tossed twice, and each…

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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Poker Chips. A bowl contains 12 poker chips—3 red, 4 white, and 5 blue. One of these poker chips is selected at random from the bowl. Let B denote the event that the chip selected is blue. Find the probability that a blue chip is selected, and express your answer in probability notation.
K Identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the even numbers between 1 and 10, inclusive The sample space is {0}. (Use a comma to separate answers as needed. Use ascending order.)
Inside a bag, there are 5 quarters, 2 nickels, and 4 dimes. Two coins are randomly drawn without replacement. Calculate the probability of drawing one quarter and one dime. The tree diagram has been started below.
One die is rolled. List the outcomes comprising the following events: (make sure you use the correct notation with the set braces { }, put a comma between each outcome, and do not put a space between them)
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 fourfour girlsgirls and nono boysboys. Identify the sample space for a couple having four children. {nothing} (Use a comma to separate answers as needed.) Find the probability of getting fourfour girlsgirls and nono boysboys.
A dartboard has 6 equally sized slices numbered from 1 to 6. Some are white and some are grey, as shown below. 6 1 4 3 Answer the following questions. Write each answer as a fraction. A dart will be tossed and will land on a slice at random. (a) What is the probability that the dart lands on a white slice? 0 (b) What is the probability that the dart lands on a white slice, given that the dart lands on an odd-numbered slice? 5 2 Olo X S C. ?
Three Children Use this sample space listing the eight simple events that are possible when a couple has three children (as in Example 1): {bbb, bbg, bgb, bgg, gbb, gbg, ggb, ggg}. Assume that boys and girls are equally likely, so that the eight simple events are equally likely. Find the probability that when a couple has three children, there is exactly one girl.
A spinner has 10 sections numbered 1 to 10. Consider the events in the table. Event A Spin an odd number Event B Spin a number greater than 5 Event C Spin a 4 Event D Spin a multiple of 2 Which pairs of events are disjoint and cannot occur at the same time? Select all that apply. Events A and B Events B and C Events C and D Events A and C Events A and D
A probability experiment consists of rolling a six-sided die and spinning the spinner shown at the right. The spinner is equally likely to land on each color. Use a tree diagram to find the probability of the given event. Then tell whether the event can be considered unusual. Event: rolling a 5 and the spinner landing on yellow The probability of the event is 008 (Type an integer or decimal rounded to three decimal places as needed.) Can the event be considered unusual? A. Yes, because the probability is 0.05 or less. B. No, because the probability is 0.10 or less C. Yes, because the probability is greater than 0.10. Click to select your answer(s) O search Desktop 11

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