10 A text is such that a vowel is followed by a consonant 80% of the time and a consonantis followed by a vowel 50% of the time. In the following cases, how should you guess inorder to maximize your probability to guess correctly: (a) a letter is chosen at random,(b) a letter is chosen at random and the next letter in the text is recorded, (c) five lettersare chosen at random with replacement, (d) a sequence of five consecutive letters ischosen at random?

A text is such that a vowel is followed by a consonant 80% of the time and a constant is followed by…

Answered: 10 A text is such that a vowel is…

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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Similar questions

From a sack of fruit containing 10 oranges, 4 apples, and 6 bananas, a random sample of 8 pieces of fruit is selected. What is the probability that 4 oranges, 1 apple and 3 bananas are selected?
QI) In a box there are 100 resistors having resistance and tolerance as shown in the following table. Let a resistor be selected from the box and assume each resistor has the same likelihood of being chosen. Define three events A as draw a 472 resistor, B as draw a resistor with 5% tolerance and C as draw a 1002 resistor. Find P (A/B), P (A/C).P (B/C). Resistznce 10% Total 22 10 14 24 47 28 16 44 100 24 32 Tatal 62 36 100
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 quick quiz consists of 5 multiple choice problems, each of which has 4 answers, only one of which is correct. If you make random guesses on all 5 problems, (a) What is the probability that all 5 of your answers are incorrect? answer: (b) What is the probability that all 5 of your answers are correct? answer:
You randomly select an integer from 0 to 24 inclusively and then randomly select an integer from 0 to 49 inclusively, what is the probability of selecting a 10 both times?
A player tosses two coins, if two head appears he wins 4, if one head appears he wins 2, but if two tails appears he loses 3. Find the expected sum of money he wins?
In a New York State daily lottery game, a sequence of four digits (not necessarily different) in the range 0-9 are selected at random. Find the probability that three of the four digits are the same.
(3) Seven different crime victims listened to voice recordings of four different suspects. If the voice identifications were made by random guess, find the probability that all the victims would select the same voice recording.
A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a four or five. (b) Compute the probability of randomly selecting a four or five or six. (c) Compute the probability of randomly selecting a nine or spade.
An instructor gives his class a set of 12 problems with the information that the next quiz will consist of a random selection of 4 of them. If a student has figured out how to do 9 of the problems, what is the probability the he or she will answer correctly (a) all 4 problems? 0.2545(b) at least 3 problems.

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