Probability of 10.3 A mother and father each have blood type AB. Find the probability that their child has the following blood type. (a) AB (b) A (c) B 10.4 Suppose that a family has five children. Find the probability that there are four girls and one boy. 10.5 Suppose that a family has five children. Find the probability that there are exactly three girls and two boys. 10.6 Using only four genes denoted by (N-P-M-G), how many different gene orders are there? 10.7 Suppose that you want to plant four trees in a plot and can choose from 10 different species. How many ways can be chosen to plant the trees in the plot? 10.8 Suppose that there are five types of toppings to put on a certain pizza. If you want to have only two toppings, how many choices do have? you 0.9 In plants and animals that sexually reproduce, each parent gives half of its genes to the offspring. Somatic cells contain two unique copies of each chromosome, and the two copies of each chromosome form a chromosome pair, or homologous chromosomes. Diring the process of meiosis, the somatic cell will divide into gametes, or sex cells, each of which contains only one copy of each chromosome. (a) The common fruit fly has four different chromosomes; thus, in each somatic cell, there ac egnt chromosomes arranged in four pairs. How many unique gametes can one fruit fly form? (b) Humans have 23 different chromosomes; thus, in each somatic cell, there are 46 chromosomes arranged in 23 chromosome pairs. How many unique gametes ca one human form? A
Probability of 10.3 A mother and father each have blood type AB. Find the probability that their child has the following blood type. (a) AB (b) A (c) B 10.4 Suppose that a family has five children. Find the probability that there are four girls and one boy. 10.5 Suppose that a family has five children. Find the probability that there are exactly three girls and two boys. 10.6 Using only four genes denoted by (N-P-M-G), how many different gene orders are there? 10.7 Suppose that you want to plant four trees in a plot and can choose from 10 different species. How many ways can be chosen to plant the trees in the plot? 10.8 Suppose that there are five types of toppings to put on a certain pizza. If you want to have only two toppings, how many choices do have? you 0.9 In plants and animals that sexually reproduce, each parent gives half of its genes to the offspring. Somatic cells contain two unique copies of each chromosome, and the two copies of each chromosome form a chromosome pair, or homologous chromosomes. Diring the process of meiosis, the somatic cell will divide into gametes, or sex cells, each of which contains only one copy of each chromosome. (a) The common fruit fly has four different chromosomes; thus, in each somatic cell, there ac egnt chromosomes arranged in four pairs. How many unique gametes can one fruit fly form? (b) Humans have 23 different chromosomes; thus, in each somatic cell, there are 46 chromosomes arranged in 23 chromosome pairs. How many unique gametes ca one human form? A
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 20E
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Concept explainers
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.
Question
10.5
Transcribed Image Text:Probability of
10.3 A mother and father each have blood type AB. Find the probability that their child has
the following blood type.
(a) AB
(b) A
(c) B
10.4 Suppose that a family has five children. Find the probability that there are four girls and
one boy.
10.5 Suppose that a family has five children. Find the probability that there are exactly three
girls and two boys.
10.6 Using only four genes denoted by (N-P-M-G), how many different gene orders are there?
10.7 Suppose that you want to plant four trees in a plot and can choose from 10 different
species. How many ways can be chosen to plant the trees in the plot?
10.8 Suppose that there are five types of toppings to put on a certain pizza. If you want to have
only two toppings, how many choices do
have?
you
0.9 In plants and animals that sexually reproduce, each parent gives half of its genes to the
offspring. Somatic cells contain two unique copies of each chromosome, and the two
copies of each chromosome form a chromosome pair, or homologous chromosomes.
Diring the process of meiosis, the somatic cell will divide into gametes, or sex cells, each
of which contains only one copy of each chromosome.
(a) The common fruit fly has four different chromosomes; thus, in each somatic cell, there
ac egnt chromosomes arranged in four pairs. How many unique gametes can one
fruit fly form?
(b) Humans have 23 different chromosomes; thus, in each somatic cell, there are
46 chromosomes arranged in 23 chromosome pairs. How many unique gametes ca
one human form?
A
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