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Finite probability


Introduction for Finite probability:
Example for finite Probability:
 Number of spades when ten cards are drawn from  randomly shuffled pack of 52 cards.
Sample space:
Event: 
 Every non empty subset of  sample space is an event.

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Example Problems for finite Probability:
Example 1 :
If a coin is tossed 1000 times with  Head : 455, Tail : 545 what will be the probability for each event.
Solution :
 The coin is tossed 1000 times total number of trials is 1000. Let's take events of getting a head and of getting a tail as E and F, respectively. Then, the number of times E happens, the number of times ahead come up, is 455.
So, the probability of E =`(Number of heads)/(Total number of trials)`
 P (E) = `455/1000`
 = 0.455
 The probability of an event of getting a tail =` (Number of tails)/(Total number of trials)`
P(F) =`545/1000`
= 0.545
Example,  P(E) + P(F) = 0.455 + 0.545 = 1, and E and F are two possible outcomes of an each trial.
Example 2 :
 When two coins are tossed simultaneously for 500 times, and we get two heads 105 times,One head  275 times
and No head for 120 times.what is the probability for each of these events.
Solution :
probability for the events of getting two heads, one head and no head by E1, E2 and E3, respectively.
P(E1) =`105/500`
= 0.21
 P(E2) =`275/500`
  = 0.55           
 P(E3) =`120/500`
= 0.24

Between, if you have problem on these topics Finding Probability, please browse expert math related websites for more help on combination probability formula .
Finite Probability is a more same as chance , for  obtainimg  probability of  for an event, we can determine the ratio for number of outcomes favorable to an event, to the total number of equal likely outcomes. For a finite random variable it takes only a finite or countable number of events it is called a discrete random variable.
 Set of all possible outcomes for a random experiment it is said to be sample space.