(25 pt.) You are playing Scrabble and you draw seven tiles: M, A, T, C, H, E, S. You linethem 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.5.1 (9 pt.) Calculate the probability of each event; that is, p(M), p(T), and p(5).5.2 (4 pt.) What is p(M/T)?5.3 (4 pt.) What is p(M|5)?5.4 (4 pt.) What is p(T|S)?5.5 (4 pt.) Consider all pairs of events: (M,T), (M,S), and (T.S). Which pairs of events areIndependent and which pairs of events are not independent? Justify your answer.

Let's solve this problem step by step.5.1 Calculating the probability of each event:p(M): There are…

Answered: (25 pt.) You are playing Scrabble and…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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