Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sumof the face values showing on the dice.a. how many sample points are possible? (hint: use the counting rule for multiple-stepexperiments.)b. list the sample points.c. What is the probability of obtaining a value of 7?d. What is the probability of obtaining a value of 9 or greater?e. because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only fivepossible odd values (3, 5, 7, 9, and 11), the dice should show even values more oftenthan odd values. Do you agree with this statement? Explain.f. What method did you use to assign the probabilities requested?
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.
Consider the experiment of rolling a pair of dice. Suppose that we are interested in the sum
of the face values showing on the dice.
a. how many sample points are possible? (hint: use the counting rule for multiple-step
experiments.)
b. list the sample points.
c. What is the probability of obtaining a value of 7?
d. What is the probability of obtaining a value of 9 or greater?
e. because each roll has six possible even values (2, 4, 6, 8, 10, and 12) and only five
possible odd values (3, 5, 7, 9, and 11), the dice should show even values more often
than odd values. Do you agree with this statement? Explain.
f. What method did you use to assign the probabilities requested?
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