A fair coin is tossed 9 times.(A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads?(B) What is the probability of getting either 9 heads or 9 tails?...(A) What is the probability of tossing a tail on the 9th toss, given that the preceding 8 tosses were heads?

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Answered: A fair coin is tossed 9 times. (A) What…

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 group of three people are selected at random.(a) What is the size of n(S), the number of all possible lists of three birthdays?(b) What is the probability that no birthdays are the same?Write the probability as a percent rounded to the nearest tenth.(c) What is the probability that at least two of the birthdays are the same?Write the probability as a percent rounded to the nearest tenth.
(a) A man tosses a fair coin 10 times. Find the probability that he will have: heads on the first five tosses and tails on the next five tosses, heads on tosses 1,3,5,7,9 and tails on 2,4,6,8,10 tosses, (i) (ii) (iii) 5 heads and 5 tails, (iv) at least 5 heads, and (v) not more than 5 heads.
9. In a school, three-quarters of students are involved in sports, half are involved in cultural activities, and one- eighth are involved in neither. Calculate the probability that a student is involved in (a) either sports or in cultural activities. (b) both sports and cultural activities. (c) cultural activities but not sports.
An urn contains seven red marbles and six green marbles. Four marbles are selected (all at once).(a) What is the probability that you get all reds?(b) What is the probability that you get one red and three greens?(c) What is the probability that you get at least one of each color?
A fair coin is tossed 6 times. (A) What is the probability of tossing a tail on the 6th toss, given that the preceding 5 tosses were heads? (B) What is the probability of getting either 6 heads or 6 tails? (A) What is the probability of tossing a tail on the 6th toss, given that the preceding 5 tosses were heads? (Type an integer or a fraction. Simplify your answer.) (B) What is the probability of getting either 6 heads or 6 tails? (Type an integer or a fraction. Simplify your answer.)
If you flip 10 fair coins, what is the probability that: (a) Exactly 5 of them are “heads”? (b) At least 8 of them are “heads”?

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