Why must the probability be between 0 and 1?

Between 0 and 1 The probability of an event will not be less than 0. This is because 0 is impossible (sure that something will not happen). The probability of an event will not be more than 1. This is because 1 is certain that something will happen.

How do you find the probability of one event given another?

This probability is written P(B|A), notation for the probability of B given A. In the case where events A and B are independent (where event A has no effect on the probability of event B), the conditional probability of event B given event A is simply the probability of event B, that is P(B). P(A and B) = P(A)P(B|A).

How do you find the probability of A and B not independent?

If the events A and B are not mutually exclusive, the probability is: (A or B) = p(A) + p(B) – p(A and B).

Why can odds be greater than 1 but be probability between 0 and 1?

so if all events occur then the value will be 1 and if no event can happen then the value will be 0. probability always lies between 1 and 0 because it is a ratio.

Why should the sum of probabilities always equal to 1?

If u add probabilities of all possible outcomes that should be one, because classical definition of probability is number of possible out comes divided by total number of outcomes. When you add all probabilities numerator and denominator are equal so answer is one.

Why should the sum of the probabilities in a probability?

The sum of the probabilities in a probability distribution is always 1. A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. The sum of all the probabilities in the distribution must be equal to 1.

Why should the sum of the probabilities in a probability distribution?

The sum of the probabilities of all outcomes must equal 1 . If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. Two events A and B are independent if knowing that one occurs does not change the probability that the other occurs.

What is the probability that both events occur?

Probability of Two Events Occurring Together: Independent Just multiply the probability of the first event by the second. For example, if the probability of event A is 2/9 and the probability of event B is 3/9 then the probability of both events happening at the same time is (2/9)*(3/9) = 6/81 = 2/27.

What is the probability rule for deciding whether events A and B are independent?

28. Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true. You can use the equation to check if events are independent; multiply the probabilities of the two events together to see if they equal the probability of them both happening together.