Probabilities

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Probability plays a very pivotal role in mathematics. Probability is defined as the chances for an event to occur. For a given situation or conditions there is always a chances for an event to likely or unlikely occur. The probability of a event is mostly between 0 to 1. The chances or probability for all the possible events to occur for a given condition add up to a 1. Therefore probability of an event is calculated by:
P (Event) = Number of outcomes favorable for the event/Total number of outcomes. 
  
Example 1: A coin is tossed what is the probability of getting a heads?

Solution: On tossing a coin there are total of two possibilities either heads may show up or tails may show up.

Therefore total number of possible outcomes = 2.

The number of outcomes favorable of getting heads = 1.

P (Heads) = Number of outcomes favorable for heads/Total number of outcomes.  
 
Therefore probability of getting heads P (H) = 1/2.
 
Example 2: A dice is thrown what is the probability of getting the number 6?

Solution: On throwing a dice the total number of possibilities are 6 either of the following numbers may show up i.e. {1, 2, 3, 4, 5, and 6}.

Therefore total number of possible outcomes on throwing a dice = 6.

The number of outcomes favorable of getting the number 6 = 1.

P (6) = Number of outcomes favorable for number 6/Total number of outcomes. = 1/6.   

Therefore probability of getting number 6 is P (6) = 1/6.

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