The Definition Of Conditional Probabilities The conditional probabilities of an event B given event A is the probability that B will occur given that.

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Presentation transcript:

The Definition Of Conditional Probabilities The conditional probabilities of an event B given event A is the probability that B will occur given that A has occurred, and is a probability base on a reduce sample space.

The Formula Of Conditional Probability The conditional probability of event B given event A is defined as

Two fair dice are rolled. Find the probability that a)both numbers turned up are the same,given that the sum of the numbers is greater than 6. Answer:The required probability = P(A | B)

b)The sum of the numbers turned up is greater than 6,given that both numbers are the same. Answer:The required probability=P(B|A)

a)

b) The number is ‘8’, given that the dice is red. Answer: The required probability = P(‘8’|red)

c)the number is even,given that the dice is red. Answer:The required probability =P(even | red)