00:01
In the question they given sample space is sample space equal to a comma b comma c comma d comma e comma f comma g with probabilities here probabilities are given 0 .1 0 .05 0 .2 0 .2 0 .3 0 .15 0 .1, 0 .1.
00:40
Here they are also given a equal to a comma b comma b equal to b comma d comma f c equal to c comma e comma g comma a we have to find out find p of a dash intersection c p of b dash intersection c dash and the third one is p of a intersection b union c dash.
01:22
First we have to find p of a intersection c.
01:29
Here a dash intersection c values is we have to take a dash values are here a equal to a comma b comma g the sample space is a comma b comma c comma d comma e comma f comma z.
01:52
In this sample space the a values don't take a, b, g.
02:00
The remaining values c comma d comma e comma f values are a dash.
02:06
C, d, e, f.
02:10
We have to take a dash values are c, d, d, f values are c, d, d.
02:15
E, f intersection c is c values is c comma e comma g comma a in these two the common things are c and e here also c and e here the probability of a intersection c is p of c comma e c comma e we have to write p of c plus p of e.
02:54
That equal to p of c value is here a, b, c, d, e, f, g.
03:02
Here c is 0 .2.
03:04
Probability of c is 0 .2 plus probability of e is 0 .15.
03:11
That equal to 0 .2 plus 0 .15 equal to, we have to add these 2 .5.
03:19
Things we have 0 .35.
03:24
Here it is the answer of p of a dash intersection c.
03:29
Next we have to take the second question p of b dash intersection c dash first we have to find b dash intersection c dash here b dash is b equal to b comma d comma f we have done don't take b, d and f...