Matematika : chance events

DEFINITION
 

Chance of an event A is equal to the number of occurrence of the event A is divided by all possible.

P (A) = k / n

where

k: the number of occurrence of the event A
n: number of all possible

If we do the experiment, the set of all outcomes is called Sample space

example:

1. Coin-tossing experiment 3 times.
     A is the event appeared just two faces in a row.
     then:
     S = {mmm, MMB, mbm, MBB, bmm, bmb, bbm, bbb}
     A = {mmb, bmm}
     n (S) = 23 = 8
     n (A) = 2
     P (A) = 2/8 = 1/4

2. Experiments roll the dice one time.
     A is the incidence appears to die even.
     then:
     S = {1,2,3,4,5,6}
     A = {2,4,6}
     n (S) = 6
     n (A) = 3
     P (A) = 3/6 = 1/2

If the chance of A is P (A) and no chance of occurrence A is P (A) the applicable
             _
P (A) + P (A) = 1

example:

Bridge deck of cards consisting of 52 cards are drawn one card. What is the probability that the card is not being picked up pocket Kings?

Answer:

P (King) = 4/52 = 1/13
P is not King = 1 - 1/13 = 12/13