saurabh9gupta
Hi Everyone,
Could anyone please guide on the usage of the below formula?
\(P(A or B) = P(A) + P(B) - P(A and B)\)
When is the formula applicable? and any particular question in GMAT prep?
Hi Saurabh,
This formula is called "Addition rule for not mutually exclusive events"
For example;
Selecting a perfect cube or an even number.
In this case, there will be n number of perfect cubes that are also even.
If I want to calculate the probability of perfect cubes or even numbers from 1 to 50 inclusive.
Total outcomes = 50.
Required outcomes : Perfect cubes = 1, 8, 27
Even numbers = 2, 4, 6, 8.....50 (Total = 25)
Required probability:
P(A or B) = P(A) + P(B) - P(A & B)
= 3(perfect cubes) + 25(even numbers) - 1(only one number is even & perfect cube = 8)
= 27
So 27/50
Hope this helps