14. If you roll 6 six-sided dice, find the following probabilities:(a) The probability that the sum of the dicegreater than 7.(b) The probability that at least one of the dice has a three showing.15For the date listed below find the following You must chor allpoire full or

Answered: 14. If you roll 6 six-sided dice, find…

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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After school, you go to Bob's Deli. You plan to purchase the "Special." On the "Special," you have a choice of a white, wheat, rye, or bagel. Meat choices are limited to ham or turkey. Side items available are fries, tots, or fruit cup. You are limited to one choice per category. 7. 8. What is the probability you order ham on a bagel with tots?
Two dice are rolled at the same time. Find the probability of each event listed when the probability is given as P(die 1, die 2). For example, if you want to know the probability that you roll a 3 on the first die and and a 5 on the second die, it would be written as P(3, 5). Give your answer as a decimal rounded to the thousandth place (three numbers after the decimal). P(1, 1) = P(both odd) P(even, odd): P(2 anywhere) = P(sum of 8) = P(sum of 1) =
Decide which of these numbers could not possibly be probabilities. Explain your answers. a. 00.47 b. −0.047 c. 3.5 d. 1/3.5
Two dice are rolled and someone indicates that the two numbers that come up are different. Find the probability that the sum of the two numbers is 6.6. Answer:
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.
You play two games against the same opponent. The probability you win thefirst game is 0.4. If you win the first game, the probability you also win the second is 0.2.If you lose the first game, the probability that you win the second is 0.3. A tie is not anoption.a. Are the two games independent? Explain.b. What’s the probability you lose both games?c. What’s the probability you win both games?d. Let random variable X be the number of games you win. Find the probabilitymodel for X.

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14. If you roll 6 six-sided dice, find the following probabilities: (a) The probability that the sum of the dice greater than 7. (b) The probability that at least one of the dice has a three showing. 15 For the date listed below find the following You must about all work to