00:01
So here we are given the definition of the events in terms of a, b and c.
00:06
We have to find out probability of a union c complement.
00:12
So we know that a union c complement is nothing but p of a plus p of c complement minus p of a intersection c complement.
00:25
This will be the concept.
00:27
So now p of a it is nothing but probability.
00:30
Of getting an even number of cards which is nothing but number of favorable outcomes divided by total number of outcomes that is 20 divided by 52 which is equal to 0 .3846.
00:45
Similarly, p of c complement will be in terms of 1 minus p of c which is nothing but 1 minus 12 divided by 52 gives you the solution of 0 .7693.
01:00
0 .7693.
01:02
Now p of a intersection c complement will be equal to probability of getting even number of cards but not a phase card will be 20 by 52 again which gives you 0 .3846.
01:20
Now substituting in the equation 1 we will be obtaining the solution to be probability of a union c complement is equal to 0 .7693.
01:35
Now probability of b divides a is nothing but probability of b intersection a divided by probability of a, which is nothing but 5 divided by 52, the whole thing divided by 2 divided by 52.
01:54
On simplifying this process, we will be getting 0 .2500 to be the solution.
02:02
The next concept is p of a divides c complement will also be in terms of p of a intersection c complement divided by p of c complement.
02:15
So here we have already got the values of the required probability...