A coin is tossed three times.(a) What is the probability that the coin will land tails at least twice?(b) What is the probability that the coin will land tails on the second toss, given that tails were thrown on the first toss?(c) What is the probability that the coin will land heads on the third toss, given that tails were thrown on the first toss?

When a coin is tossed three times then outcomes are (H,H,H) , (H,H,T) , (H,T,H), (H,T,T) , (T,H,H) ,…

Answered: A coin is tossed three 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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Teams A and B are in a seven-game playoff series; the team that wins four games is the team that wins the series. Assume that both teams are evenly matched (i.e., the probability of winning each game is 50/50). (a) Team A won the first two games. What is the probability that team B will win the series? (b) Continue to assume that Team A has already won two games, but the teams are not evenly matched. Assume that B is a better team. It’s better in that its probability of beating Team A in any one game is .60. What is the probability that Team B will win the series? Pls solve via binomial theorem
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?
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 coin is weighted in such a way that it lands "heads side up" 70% of the time. The coin is to be flipped until there are exactly 5 flips that land "heads side up". What is the probability that the 5th "heads side up" occurs on the 8th toss? 25
A baseballer rikes out 47% of the batters he faces (that is, the probability that he strikes out any given batter correct is .47). (a) In a series of five games, he faces 180 batters. What is the probability that he strikes out exactly 81 batters? (b) In a month, he faces 630 batters. What is the probability that he strikes out 310 or more batters? Now, every day for eternity he faces 100 batters, and records the number he strikes out. (c) Find the mean μ, and the standard deviation σ, of the numbers (of batters he strikes out on different days) that he records.
: The probability that a mountain-bike rider travelling along a certain track will have a tyre burst is 0.05. Find the probability that among 17 riders: (a) exactly one has a burst tyre (b) at most three have a burst tyre (c) two or more have burst tyres.
f a baseball player has a batting average of 0.255, what is the probability that the player will get the following number of hits in the next four times at bat? (A) Exactly 2 hits (B) At least 2 hits
Overall, Steve Dalkowski throws a strike with 17% of his pitches (that is, the probability that he throws a strike with any given pitch is .17). (a) In one game, Dalkowski throws 240 pitches. What is the probability that he throws exactly 40 strikes? (b) In one week, Dalkowski throws 400 pitches. What is the probability that he throws 80 or more strikes? Every day for eternity Dalkowski throws 100 pitches, and records the number of strikes. (c) Find the mean µ, and the standard deviation o, of the numbers (of strikes thrown on different days) that Dalkowski records.
A ball is drawn at random from a box containing 10 red, 30 white, 20 blue, and 15 orange marbles. Find the probability that the ball drawn is (a) orange or red, (b) not red or blue, (c) not blue, (d ) white, (e) red, white, or blue.
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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