II.Solve the following given problems.1. Find the probability of getting two heads when four coins are tossed.2.A number is chosen at random from 1 to 10. Find the probability of selecting a multiple of 2.3.Two dice are rolled, find the probability that the sum isaEquai to 1b.Equal to 5C.Less than 10

NOTE- AS PER POLICY I HAVE CALCULATED FIRST MAIN QUESTION ONLY PLZ RESUBMIT OTHER QUESTION AGAIN…

Answered: 1. Find the probabilitr of getting two…

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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(v) A standard six-sided die is tossed twice. State the number of distinct outcomes if: (a) the sum of the two rolls is recorded. (b) the difference between the two rolls is recorded.
5. Compute the probability of tossing a six-sided die (with sides numbered 1through 6) and getting a 5.
2. Two dice are rolled and their sum recorded. What is the probability of rolling a sum that is less than 7 or a sum that is divisible by 3?
What is the probability that the sum of two randomly chosen integers between 20 and 40 inclusive is even (the possibility of the two integers being equal is allowed)?
4. A player spins a fair spinner with 3 sections, numbered 0, 2, and 6. Then the player tosses a fair die with four faces, numbered 1, 2, 3, and 4. The player's score is determined by doubling the number on the die, and then subtracting the number on the spinner. What is the average score for this game?
3. If two fair dice are rolled once, what is the probability that the total number of spots shown is Equal to 5? Divisible by 3?
From the urn of Problem 1, ten balls are selected with replacement. Color Red Blue Green BrownNumber 4 3 2 1◼ 3.1. Estimate the probability that four or less red balls are selected.◼ 3.2. Estimate the probability that more than four blue balls are selected.
1. Suppose a jar contains 12 yellow marbles and 36 green marbles. If you reach in the jar and randomly pull out 2 marbles successively (without replacement), find the probability that both are green. Give your answer as a fraction, or round your answer to 3 places after the decimal point, if necessary. 2. A fair 10-sided die is tossed. Find P(4 or an odd number). That is, find the probability that the result is a 4 or an odd number. You may enter your answer as a fraction, or as a decimal rounded to 3 places after the decimal point, if necessary. 3.
A fair six-sided die rolling ten times.Each roll is independent.You want to find the rolling of more than 3 times.state the probabilty of mathematically .find probabilty?
Suppose that we want to estimate the true rate r of covid-positive people in a popu- lation (where they are reluctant to disclose their status). We use the two-coin-toss method, and those who toss two heads will lie about their status, reporting the opposite status. After flipping their coins, 36% of the people report that they are covid-positive. What is our estimate for the rate r of covid-positive people in this population?
use the pivot table to find the answers. write answers as decimals rounded to 3 decimal places. a) You select an employee at random from this population of hourly workers. What is the probability that the employee is female or works part-time? b) You select an employee at random from this population of hourly workers. What is the probability that the employee works part-time and works full-time? c) You select an employee at random from this population of hourly workers. What is the probability that the employee is a female given that she works part-time?
45. If a pair of dice is thrown, and the probability that the sum the digits is neither 7 nor 11.

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1. Find the probabilitr of getting two heads when four coins are tossed.