00:01
In this problem, it is said that p of a is equal to 0 .5, p of b is 0 .7, and p of a union b is 0 .85.
00:09
Now, we need to determine whether the events a and b are independent.
00:14
Now, for this, first of all, consider the addition law of probability.
00:19
According to that, p of a union b is equal to p of a plus p of b minus p of a intersection b.
00:32
Now, p of a union b is given to be 0 .85, p of a is given to be 0 .5, and p of b is given to be 0 .7.
00:42
So this is what we have.
00:44
And from here, we can determine the value of p of a intersection b.
00:53
That will be 0 .5 plus 0 .7 minus 0 .85, and this is equal to 0 .35...