Determine the probabilities of the events in the following (Hint: Use complementary events.). Givesolution rounded to the nearest hundredth.a. Getting a sum of 4 at least once on 5 rolls of a pair of dice.The probability isb. Getting at least one 3 on 5 rolls of a die.The probability is

Given: two dice to roll 5 times to get the sum of 4 at least once one dice to roll 5 times to get…

Answered: Determine the probabilities of the…

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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Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing three red marbles, three green ones, two white ones, and two purple ones. She grabs seven of them. Find the probability of the following event, expressing it as a fraction in lowest terms. She has at most one green one.
Create your own probability problem using a number cube. Classify your event and its compliment. Are the events mutually exclusive? Find the probability of the event occurring, its complement occurring, the event and its compliment occurring, and the event or its complement occurring.
Suppose that you repeatedly roll a pair of fair dice and keep track of the sum. What is the probability that you see a sum of 7 before you see an even sum 3 times? (In particular, you keep track of how many evens you roll, and you want the probability that you roll a 7 before you get to 3 evens.
Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various combinations. When all dice show the same number, it’s called Yahtzee and scores 50 points for the first one and 100 points for each successive Yahtzee in the game. a. What is the probability that a person throws a Yahtzee on the very first roll? b. What is the probability that a person throws two Yahtzees on two consecutive rolls?
Use the data in the table below, which shows the employment status of individuals in a particular town by age group. Part-time Unemployed Age Full-time 0-17 25 187 252 18-25 391 200 199 26-34 434 66 22 35-49 562 192 149 50+ 461 170 237 If a person is randomly chosen from the town's population, what is the probability that the person is under 18 or employed part-time?

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Determine the probabilities of the events in the following (Hint: Use complementary events.). Give solution rounded to the nearest hundredth. a. Getting a sum of 4 at least once on 5 rolls of a pair of dice. The probability is b. Getting at least one 3 on 5 rolls of a die. The probability is