_
# We have P(A) = 1  P(A),
therefore, P(A) ≤ 1. _
{Since P(A) ≥ 0,}
_
# P(Φ) = 0, since Φ = (S) and
_
P(Φ) = P(S) = 1 P(S) = 11 = 0
# If in an experiment with n equally likely (and exhaustive) outcomes, m outcomes are favourable to an event A, then probability of an event A is defined simply as
P(A) = The number of possible outcomes of count as A
The total number of possible outcomes
# For every event A in S, P(A) ≥ 0.
# For every event A in S, 0 ≤ P(A) ≤ 1.
# Probability of an impossible event is always zero i.e.,
P(Φ) = 0
# For the sure event or certain event, P(S) = 1.
ILLUSTRATIONS
Experiment 1:  A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a card that is not a king?  
Probability: 

Experiment 2:  A single 6sided die is rolled. What is the probability of rolling a number that is not 4?  
Probability: 

Experiment 3:  A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a card that is not a club?  
Probability: 

Experiment 4:  A glass jar contains 20 red marbles. If a marble is chosen at random from the jar, what is the probability that it is not red?  
Probability: 

Experiment 6:  A spinner has 4 equal sectors colored yellow, blue, green and red. What is the probability of landing on a sector that is not red after spinning this spinner?  
Sample Space:  {yellow, blue, green, red}  
Probability: 

Summary:  The probability of an event is the measure of the chance that the event will occur as a result of the experiment. The probability of an event A, symbolized by P(A), is a number between 0 and 1, inclusive, that measures the likelihood of an event in the following way:

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