Thursday, October 4, 2012

Probability Number Line

Definition of probability number line:
The probability number line is one of the major topics in mathematics. Probability number line determines how likely some event will be happening. Probability distribution is consists the list of all the number random variables and their corresponding probabilities.To valid probability must be 0 and 1. And sums of probability number must be equal to 1.

P (A) =n/N

n specifies occurrence event of A

Example of Intersection Probability Number Line :

The reverse or set off an occurrence event A is the occurrence events of not A. It specifies the event A not occurring.

So mathematical expression of probability is given by P (not A) = `1 - P (A).`

An example probability of not rolled a 6 on a 6side die is [1 – (possibility of rising and falling a six)].

So probability is=1-1/6

Answer=5/6

Join probability:

Consider A and B are Events. In this A and B are occur in a single experiments are called as the Join probability. Join probability is some time called as intersection probability. That is denoted as `P (AnnB).` Suppose A and B are not depending means join probability is given in below

`P (A and B) =P (AnB) =P (A) P (B)`

The given probable sums are example for intersection probability.

The 2 coins are tossed. The probability number line for both coin get Heads=1/2*1/2

The Answer is=1/4

If flipping a single coin 3 times means find the probability number line

If 3 times flipping then probabilities are

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Events are

M =Head on first flip, N =Tails on First Flip, O=Heads on Second flip

S=Three heads, Q=Three Tails, R=zero Heads
Probability number lines are

Between, if you have problem on these topics all prime numbers from 1 to 100, please browse expert math related websites for more help on the prime number theorem.

Example for Union Probability:

Suppose the A event or B event or both events occurred in first time of an experiment that is called as union of events. The union events A and B denoted as P(AUB). If two events are commonly selected then the probability is

`P (A or B) =P (AuuB) =P (A) +P (B)`

The given probable sums is the chance for rolling a die is 1 or 2 on a six-sided die is

`P (A or B) =P (A) +P (B)`

`P (1 or 2) =P (1) +P (2)`

`P(1)=1/6 and p(2)=1/6`

`=1/6+1/6`

`Answer is=1/3`

Find probability for even number obtain when a die was rolled.

Identify the sample space values that is s and number line are given below

`S= {1, 2, 3, 4, 5, 6}`

Write only the even number line in S

`E= {2, 4, 6}`

Use Classical probability formula

`P (E) = n (E) / n(S)`

`P (E) = 3 / 6`

`P (E) = 1 / 2`

No comments:

Post a Comment