5. A pair of fair dice are thrown 10 times. Each throw of the dice is anindependent event.(a) What is the probability that the sum of the two dice is greaterthan 8 for at least 2 of the 10 throws?(b) What is the expected number of times that the sum of the twodice is greater than 8?

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Answered: 5. A pair of fair dice are thrown 10…

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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Q2: Thirteen students in a class of 20 are females. Five students are to be randomly selected from the class. (a) In how many ways can we select the 5 students? (b) In how many ways can we select a group of 3 females and two males? (b) What is the probability that the selected 5 students include 3 females?
A fair die is tossed 4 times. What is the probability that(a) no fives show up?(b) 2 fives show up?(c) all fives show up?
Airline A is on time 80% of the time, Airline B is on time 85% of the time, and Airline C is on time 90% of the time. Airline A has twice as many flights as Airline B, and Airline B has three times as many flights as Airline C. One flight is selected at random from one of these airlines. (a) What is the probability this flight on time? (b) Given that the flight is on time, what is the probability it is from Airline A?
A math class consists of 15 students, 5 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement).(a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (c) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
A math class consists of 35 students, 25 female and 10 male. Three students are selected at random, one at a time, to participate in a probability experiment (selected in order without replacement). (a) What is the probability that a male is selected, then two females? (b) What is the probability that a female is selected, then two males? (C) What is the probability that two females are selected, then one male? (d) What is the probability that three males are selected? (e) What is the probability that three females are selected?
1 card is drawn at random from the pack of 52 cards.(i) Find the Probability that it is an honor card.(ii) It is a face card.
A couple decided to have 3 children. (a) What is the probability that they will have at least two boys? (b) What is the probability that all the children will be of the same sex?
• A bag contains 5 red balls. 8 blue balls and 11 white balls. Three balls are drawn together from the box. Find the probability that (i) one is red, one is blue and one is white (ii) Two whites and one red. (iii) Three white.
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A hand of 5 cards is dealt to each of three players from a standard deck of 52 cards.(a)What is the probability that one of the players receives all four Aces?(b)What is the probability that at least one player receives no hearts?

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5. A pair of fair dice are thrown 10 times. Each throw of the dice is an independent event. (a) What is the probability that the sum of the two dice is greater than 8 for at least 2 of the 10 throws? (b) What is the expected number of times that the sum of the two dice is greater than 8?