Conditional probability

We can easily solve the problem related to Conditional probability of CBSE syllabus for class 10, but for that firstly we need to have a very good knowledge of events. We can define event by a very simple example if we have are choosing any random card from a deck of card then it is an event. For conditional probability we need to have two events. Let’s suppose if we are having two events ‘a’ and ‘b’, then there are two conditions, first is that, the events are related to each other and second event are not related to each other. The conditional probability definition is the probability of a when b is occurred. So whenever we need to calculate the conditional probability our first task is to check that the event is occurred or not.  You can also play conditional probability worksheets to improve you skills. With the help of formula given below we can calculate the conditional probability of two events as,
If p(a)=0, then p(b/a)=p(b ∩ a)/p(a)   p(a/b)  =p(a ∩ b)/p(b).
With the help of this formula we can calculate the conditional probability of the event. If we are having two event which are having no relation with each other then this type of event are called as mutually exclusive event, then p(b ∩ a)=0, so for this type of case probability will be zero. If we are drawing a card from a deck of 52 card and the card we drawn is a red card then we need to calculate the probability that the card drawn is an ace? We can solve this problem with conditional probability, because we are having two events, first event will be x and p(x) will be 26. Now we need to calculate p (x∩ y) that will be two as number of aces are 2 in black card, so required probability will be 2/26 or we can write it as 1/13.


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