In mathematics, odds and probability are two different things. Probability is the amount of times that it will happen divided by the amount of times it won’t happen. Odds, on the other hand, is made up of two different things.
There are the odds that it won’t happen, and odds that it will happen. For example, if you’re trying to find out the odds that if will happen, you write it like this.
Number of successes: number of failures.
For example, if there are 20 possible ways you could successfully order a pizza tomorrow, and another 32 that you couldn’t you would write the odds like this: 20:32. Then you would obviously simplify it and get this. 5:8. Then you could write is as a fraction and you have the odds that you will order pizza tomorrow.
If you want to find out the odds of you not ordering a pizza tomorrow, you just flip it around and have 8:5.
Now we have to learn how to multiply probabilities. Multiplying probabilities is easy. You just have to find out the probability of each event and multiply it together. Now, before I show you the formula, I have to tell you this: The events you are using have to be independent. What does that mean?
Independent means that the events don’t depend on one another. For example, when you’re picking toys at random, the events are dependent because you can’t choose the toy that you have in your hand. But if you pick one toy, put it back, and then pick another toy at random, those events are independent. Get what I’m saying?
The formula for independent events is simple: P(A and B)=P(A)P(B). P stands for the probability, and as you probably guessed, A and B are the independent events.
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