if two events are independent, what is the probability that they both occur? course hero

How do you find the probability of two independent events?

Feb 09, 2016 · These are my suggestions. by definition, (see it in the bibliography) two events A and B are independent if it is satisfied: p(A∩B)=p(A).p(B) Therefore, to know the probability that 6) If event A and event B cannot occur at the same time, then events A and B are said to be 6) A) statistically independent. B) mutually exclusive.

What is the probability that at least one event will happen?

Top Answer D )Explanation: If two events are independent, then the probability of occurrence of one does not affect the probability of occurrence of the other one. Thus, the probability that both occur is equal to the multiplication of their probabilities. Since these are not given in this question, the required probability cannot be determined.

What is the probability of occurrence of a and B?

Math. Statistics and Probability. Statistics and Probability questions and answers. If two events are independent, what is the probability that they both occur? 0 1.00 0.50 Cannot be determined from the information given.

What is the probability that both E and F happen?

If two events are independent, what is the probability that they both occur? a) 0. b) 0.50 c) 1.00. d) Cannot be determined from the information given. 2. All the events in the sample space that are not part of the specified event are called a) simple events. b) joint events. c) the sample space. d) the complement of the event. 3. The employees of

What is independent event?

What Are Independent Events? The exact meaning of independent events defines as the happening of one event does not affect the happening of the other. The probability of occurrence of the two events is independent. This article explains Probability of independent events along with examples.

What is mutually exclusive?

Mutually exclusive events. Definition. The events are independent if the occurrence of one doesn’t result in any change in the occurrence of another event. The events are mutually exclusive if they don’t occur simultaneously. Impact. The occurrence of one event doesn’t impact the occurrence of the other.

What are Independent Events?

In Probability, the set of outcomes of an experiment is called events. There are different types of events such as independent events, dependent events, mutually exclusive events, and so on.

Independent Events Venn Diagram

Let us proof the condition of independent events using a Venn diagram.

Example with Solution

Question: Let X and Y are two independent events such that P (X) = 0.3 and P (Y) = 0.7. Find P (X and Y), P (X or Y), P (Y not X), and P (neither X nor Y).