a) find the probability of event A (b) find the probability of event B (c) find the probability of event A n C
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.
Tree diagram
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.
please help me by solving parts a, b and c. i am stressed and not sure why i am not comprehending. PLEASE HELP me and I will rate you!
(a) find the
(b) find the probability of event B
(c) find the probability of event A n C (sorry i cant make the symbol to go between A and C)
![An experiment involves tossing a pair of dice, one green and one red, and recording the numbers that come up. If x equals the outcome on the green die and y the outcome on the red die, the sample space S consists of all the possible ordered pairs (x,y). Event A is the
event that the sum is greater than 5. Event B is the event that a 4 occurs on either die. Event C is the event that a number greater than
below.
comes up on the green die. Assume that all elements of the sample space are equally likely to occur. Complete parts (a) through (c)
E Click the icon to view the sample space
(a) Find the probability of event A.
P(A) =D Type an integer or a simplified fraction.)
- X
Sample Space
(1,1)
(1,2)
(1,3)
(1,4)
(1,5)
(1,6)
(2,1)
(2,2)
(2,3)
(2,4)
(2,5)
(2,6)
(3,1)
(3,2)
(3,3)
(3,4)
(3,5)
(3,6)
(4,1)
(4,2)
(4,3)
(4,4)
(4,5)
(4,6)
(5,1)
(5,2)
(5,3)
(5,4)
(5,5)
(5,6)
(6,1)
(6,2)
(6,3)
(6,4)
(6,5)
(6,6)
Print
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It is given that there is a pair of dice. One is in green color and one is in red color.
The random variable x denotes that the outcome on the green die and the random variable y denotes that the outcome on the red die.
The event A represents the sum is greater than 5, the event B represents a 4 occurs on either die and the event C represents the number greater than 3 comes up on the green die.
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