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

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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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A pair of dice is thrown. Find the probahility that the sum is 10 or greater if (i) 5 appears on the first die (ii) 5 appears on atleast one of the die.
4. Jac tosses an unbiased coin. If the coin lands with head up on each toss, he wins Php50. However, if it lands with tail up, he loses Php60. If he continues to play the game, how much can he expect to win or lose? 5. You are in a carnival and yoU saw a game. The rule says that the outcome in the game is a random variable from 1 to 14 and if the outcome is even, you win Php50. If the outcome is odd, you win nothing. If you play the game, what is the expected gain if there is any?
6. What is the probability of rolling a number greater than four on a standard 6- sided die?
5. Compute the probability of tossing a six-sided die (with sides numbered 1through 6) and getting a 5.
5)a) Bart tosses 3 coins. The probability of the result not being "3 heads or 3 tails. b) Jessica rolls 3 cubes numbered 1 through 6. The probability of not rolling either "3 ones" or "3 sixes". Solve both early and correctly
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?
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?
20. The expected number of success in 200 tosses of a fair coin is A. 100 В. 200 С. 50 D. 120
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?
2. Two fair dice are rolled once. Find the probability that both dice turn up a) the same number or that the sum of the numbers is greater than 6. b) the same number and that the sum of the numbers is greater than 6.

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