For two events and b select the probability expressions from...

For two events A and B, select the probability expressions from the dropdown boxes in columns 2-4 in the following table that are equal to the probability of the expression column, noting the conditions at the top of each column. The first row of the table is filled out for you. A and B are independent events. A and B are dependent events. A and B are mutually exclusive events. P(A | B) = P(AC) = P(A) P(A and B) = P(A) * P(B) P(A or B) =

Transcript

00:01 Hello friends, here we are to solve this problem.

00:03 So in the first problem we have probability of a union b or you can say probability of a or b.

00:08 So here we have three cases that is a and we are independent events, then a and b are dependent events and then a and b are mutually exclusive events.

00:17 So for these three cases we have different values of probability of a union b.

00:22 So let us see how these values will change with the conditions on a and b changing.

00:27 Right, so this value will be equals to probability of a plus probability of b and here if i try to okay, so i just did a mistake.

00:38 So it will be probability of b negative of probability of a intersection b.

00:44 That is a and b, okay.

00:46 So if you will try to write for when for a and b, when they are independent events, then the answer will come out as probability of a plus probability of b and then here we will will have its value as if i write it, it will be again the same as i have written above.

01:04 Now let us try to write for the third case in which our a and b are mutually exclusive events.

01:10 Okay, so just wait a second.

01:13 I will just write it more or better.

01:15 Now in the third part, i can say that probability of a union b will be equal to probability of a plus probability of b.

01:23 Then let's try to solve this part.

01:26 The second point, the second point, part of this problem...

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