Question

Create your own probability example of compound events please explain logic and approach. Example must be unique and easy to follow i.e. colors, numbers, age, size, etc.

Answer 1

Compound Event is one in which there is more than one possible outcome.

By Addition Theorem of probability, the probability of a compound event as the sum of the probabilities of individual events and if the events are not mutually exclusive, removing overlapping probabilities.

Addition Theorem:

MY OWN PROBABILITY EXAMPLE OF COMPOUND EVENTS:

Example:

A card is drawn from a pack of 52 cards. To find the probability of the card being either Red OR a Jack:

Let

A = Event that the card is Red. A consists of 26 sample points since there are 26 Red cards.

B = Event that the card is Jack. B consists of 4 sample points since there are 4 Jack cards.

AB consists of 2 sample points since there are 2 Red Jack cards.

Thus,

P(A) = 26/52

P(B) = 4/52

P(AB) = 2/52.

So,

the probability of the compound event is given by substituting in Addition Theorem as follows:

= 26/52 + 4/52 - 2/52 = 7/13 = 0.5385