(4) Consider a roll of six dice of different colors.(a) How many different rolls are possible? (Assume the colors of the dice arerelevant for distinguishing between rolls.)(b) How many different rolls have at least one 1 appear among the six dice?(c) How many different rolls have at least one 1 or at least one 5 among the sixdice?

Six dice of different colors are rolled.

Answered: (4) Consider a roll of six dice of…

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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Similar questions

You randomly select an integer from 0 to 24 inclusively and then randomly select an integer from 0 to 49 inclusively, what is the probability of selecting a 10 both times?
3. You roll a pair of fair dice, one blue and the other gray. (a) (5 pts) What is the probability that at least one of the numbers showing face up is odd? (b) (5 pts) What is the probability that the sum of the numbers showing face up is 10? (c) (5 pts) What is the probability that the sum of the numbers showing face up is not 10?
2) How many permutations of the word PROBABILITY start with a B and end with a vowel?
1. A bag contains 12 gambling chips: 8 of these chips have a zero marked on them, the other 4 chips have a one marked on them. Another bag also contains 12 chips: 4 marked zero and 8 marked one. Players randomly select one chip from each bag and their score is the larger of the two numbers on the chips that they select. a) b) c) d) f) Present the probability distribution of the scores that could be achieved by a player in one game. Compute the mean (ux) and standard deviation (x) of this distribution. Present the sampling distribution of the total score that a player could achieve in three games, assuming chips are returned to their bags after each game. Present the sampling distribution of the mean score that could be achieved by a player in three games, assuming chips are returned to their bags after each game. Compute the mean (μ) and standard deviation (o) of the sampling distribution in part D. Confirm that u = μ that o =T. Vn What is the mean and standard deviation of the…
2. A group of three undergraduate and six graduate students are available to fill certain student government posts. If four students are randomly chosen from this group, find the probability that exactly two undergraduates will be among the four chosen. [Hint: How many ways are there to fill the posts? How many ways satisfy the condition of having exactly TWO undergraduates selected AND hav- ing exactly two graduates selected?]
A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is a diamond. A standard 52-card deck is split evenly into four suits of cards (hearts, diamonds, clubs, and spades). Each suit contains the cards ace, 2, 3.., 10, jack, queen, king. a) Find P(E) and P (E'). b) Find P(F) and P (F'). c) Find P(EUF).

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