All four parts of this question refer to the following scrabble tiles. You do not need to understand the game of scrabble to answer the question. All you need to know is that it is played with tiles. Each tile has one letter on it, and a point value in the bottom right hand corner (e.g. "P" is worth 3 points). RE P. E T. ITQON TIJ0N Note that there are some repeated tiles. For example the two E tiles are identical. How many sets of two tiles can be selected from these tiles, if we insist that the two chosen tiles contain different letters? In how many ways can you form a multiset of 2 tiles from the ones pictured? Suppose that I take one tile from the word, and then take another tile. How many possible ordered pairs of tiles can I form in this way? Suppose that the pictured tiles get arranged into two piles. Which of the following statements follows from the pigeonhole principle? OBoth piles must contain a tile with the letter T on it. OBoth piles will contain at least 4 tiles worth 1 point. OOne pile will be bigger than the other. OOne pile will have more points on its tiles than the other pile. OOne pile will contain at least 5 tiles worth 1 point, the other pile will have at most 4 tiles worth 1 point. OOne pile will contain at least 5 tiles worth 1 point, the other pile will have at least 4 tiles worth 1 point.
All four parts of this question refer to the following scrabble tiles. You do not need to understand the game of scrabble to answer the question. All you need to know is that it is played with tiles. Each tile has one letter on it, and a point value in the bottom right hand corner (e.g. "P" is worth 3 points). RE P. E T. ITQON TIJ0N Note that there are some repeated tiles. For example the two E tiles are identical. How many sets of two tiles can be selected from these tiles, if we insist that the two chosen tiles contain different letters? In how many ways can you form a multiset of 2 tiles from the ones pictured? Suppose that I take one tile from the word, and then take another tile. How many possible ordered pairs of tiles can I form in this way? Suppose that the pictured tiles get arranged into two piles. Which of the following statements follows from the pigeonhole principle? OBoth piles must contain a tile with the letter T on it. OBoth piles will contain at least 4 tiles worth 1 point. OOne pile will be bigger than the other. OOne pile will have more points on its tiles than the other pile. OOne pile will contain at least 5 tiles worth 1 point, the other pile will have at most 4 tiles worth 1 point. OOne pile will contain at least 5 tiles worth 1 point, the other pile will have at least 4 tiles worth 1 point.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
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Transcribed Image Text:All four parts of this question refer to the following scrabble tiles. You do not need to understand the game of scrabble to answer the question. All you
need to know is that it is played with tiles. Each tile has one letter on it, and a point value in the bottom right hand corner (e.g. "P" is worth 3 points).
REPETLTLON
T. 10
3
1
1
1
1
Note that there are some repeated tiles. For example the two E tiles are identical.
How many sets of two tiles can be selected from these tiles, if we insist that the two chosen tiles contain different letters?
In how many ways can you form a multiset of 2 tiles from the ones pictured?
Suppose that I take one tile from the word, and then take another tile. How many possible ordered pairs of tiles can I form in this way?
Suppose that the pictured tiles get arranged into two piles. Which of the following statements follows from the pigeonhole principle?
OBoth piles must contain a tile with the letter T on it.
OBoth piles will contain at least 4 tiles worth 1 point.
OOne pile will be bigger than the other.
OOne pile will have more points on its tiles than the other pile.
OOne pile will contain at least 5 tiles worth 1 point, the other pile will have at most 4 tiles worth 1 point.
OOne pile will contain at least 5 tiles worth 1 point, the other pile will have at least 4 tiles worth 1 point.
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