Class 12 Maths Probability Conditional Probability

Conditional Probability:

Given a condition and you have to find the probability

Example: when I throw a dice, what is the probability that the outcome is 3 given that the outcome is odd.

The answer is 1/3 as the odd numbers are 1, 3 and 5. So we need the probability of getting the number 3 out of the numbers 1,3,5. The chance is one out of three so The probability is 1/3.

∴if number is odd,then the probability that it is 3 is = P(3|number is odd) = 1/3

Note:But P(3) = 1/6 If there is no condition. As the probability of getting a single number named 3, out of total 6 numbers namely 1,2,3,4,5,6
is 1/6

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