Techniques of Solving Probability Problems
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In mathematics, various kind of problems are included with different complexity levels, but there is one topic in math which sounds always hard to students and it is probability, Friends today we are going to discuss about a part of probability related problems conditional probability. Probability problems are more complex in comparison to other because the information provided to solve these problems is not so fixed or we can say they are uncertain. The general meaning of probability refers to the number of possible occurrence of any event in the surrounding environment. The probability of any event lies between 0 and 1, it means always positive. Conditional probability adds some restriction to an event occurrence or we can say if an event A is occurring with probability P( A ) than its chances of happening is restricted by any other event B. the representation of conditional probability for the above statement is done in following manner:
P ( A | B) or P B(A).
If joint probability of event A and B is represented as P ( A and B) so the conditional probability of event A with respect to B can be calculated as:
P ( A | B) = P ( A and B) / P ( B )
Let us take an example of conditional probability:
Imagine a condition in card game when a player requires two cards of same type or suit to be drawn in an order for winning the game than—>
We know that there are 13 cards in every suit , suppose player draws a diamond card first, so now there are 12 diamond card left in 51 card deck. Than the conditional probability of occurring second diamond will be ( 12 / 51).
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