Instructions:• Write the GIVEN with their respective symbols and units.• Do not skip the SOLUTIONS, do it step-by-step with their respectivesymbols and unitsProblem:The probability of John's winning whenever he plays a certain game is1/3. If he plays 4 times, what is the probability that he wins exactly twotimes.a. 0.2963b. 0.2936c. 0.2369d 0.2693

Given that n=4 , p=1/3 , q=1-p=1-(1/3)=2/3 X~Binomial(n=4,p=1/3) p=Probability of winning game…

Answered: Instructions: • Write the GIVEN with…

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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Part I: Probability For each of the following problems, you should write your answer as an expression. Do not give the final numeric value. For example, you should write C(4,2)/24 instead of 0.375. 5. You are playing Scrabble and you draw seven tiles: M, A, T, C, H, E, S. You line them up in some random order on your tile rack (assume all orderings are equally likely). The events M, T, and S are defined as follows: M: The tiles M, A, T, H appear consecutively. T: The tile T appears exactly in the middle (fourth position). S: The tile S is either in the first position or in the final position. Calculate the probability of each event; that is, p(M), p(T), and p(S). 5.1 5.2 What is p(MIT)? 5.3 What is p(MIS)? 5.4 5.5 What is p(T|S)? Consider all pairs of events: (M,T), (M,S), and (T,S). Which pairs of events are independent and which pairs of events are not independent? Justify your answer.
You call a number off a fair 8-sided die. You then call a number off a fair 12-sided die. You roll both. What is the probability of correctly calling the 8-sided die or 12-sided die roll? I need help remembering the steps to the solution which I know is 0.1979
Answer the steps by steps procedure of solutions. You flip a fair coin and pick 1 card out of a hat containing 20 cards numbered 1 - 20. What is the probability of getting heads on the coin and a number greater than 15 form the hat?
Solve c,d
You randomly choose a marble from a jar. The jar contains 4 red marbles, 11 blue marbles, 9 green marbles, and 6 yellow marbles Find the probability of choosing NOT a red marble. 13 A 15 2 B 15 1 30 29 D 30
Directions: Solve the given problem. Show your solutions. Of all the registered automobiles in Colorado, 8% fail the state emissions test. Twelve automobiles are elected at random to undergo an emissions test. a. Find the probability that exactly four of them fail the test. b. Find the probability that fewer than four of them fail the test. c. Find the probability that more than three of them fail the test.

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