00:02
So, in the first case if p a is the probability that event a will occur then the probability event a will not occur is 1 here it is for not occur.
00:25
So, it is equals to 1 minus probability of that event will occur.
00:32
This statement is true and is a fundamental concept in probability theory.
00:38
It means that if we know the probability that an event a will happen then we can easily calculate the probability that a will not happen by subtracting the probability of a from 1.
00:51
For example, if probability of event a happening is 0 .6 that probability of a not happening is 1 minus 0 .6 that is equals to 0 .4.
01:12
Now, in the second case if a and b are independent events then the probability of event b is occurring is the same whether or not event a occurs.
01:31
This statement is also true and is another fundamental concept in the probability theory.
01:36
It means if two events a and b are independent then the occurrence of one event does not affect the probability of the other event occurring.
01:45
For example, if probability of event a happening is 0 .4 and the probability of b happening is 0 .6 and if a and b are independent events then the probability of both events happening that is p a and b is equals to probability of a multiply by probability of b that is equals to 0 .4 multiply by 0 .6 so it is equals to 0 .24...