Table of Contents
- 1 How do you tell if an event is independent or mutually exclusive?
- 2 How do you find the probability of the two events if they have common elements?
- 3 Can 0.4 be the probability of an event?
- 4 What is probability of A and B?
- 5 How do you find the probability of a single event to occur?
- 6 What is the probability of getting a 2 or a 5?
How do you tell if an event is independent or mutually exclusive?
When the occurrence is not simultaneous for two events then they are termed as Mutually exclusive events. When the occurence of one event does not control the happening of the other event then it is termed as an independent event.
How do you find the probability of the two events if they have common elements?
If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. The probability that an event does not occur is 1 minus the probability that the event does occur.
How do you know if probability is independent?
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.
How do you know if probability is dependent or independent?
Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.
Can 0.4 be the probability of an event?
The probability of happening of the event atleast once, if the experiment is repeated 3 times under similar conditions is.
What is probability of A and B?
The probability of A and B means that we want to know the probability of two events happening at the same time. Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B). If the probability of one event doesn’t affect the other, you have an independent event.
What does it mean to find the probability of a/B?
Given two events, A and B, to “find the probability of A or B” means to find the probability that either event A or event B occurs. The way we calculate this probability depends on whether or not events A and B are mutually exclusive or not. Two events are mutually exclusive if they cannot occur at the same time.
What is the probability of intersection between A and B?
You cannot get a definitive answer without know how dependent a and b are, since the intersection could be anywhere from .1 to .5 probability. If you need precision, more details would be needed for this problem. p (aUb) is not given here.
How do you find the probability of a single event to occur?
To find the probability of a single event to occur, first, we should know the total number of possible outcomes. Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.
What is the probability of getting a 2 or a 5?
Solution: If we define event A as getting a 2 and event B as getting a 5, then these two events are mutually exclusive because we can’t roll a 2 and a 5 at the same time. Thus, the probability that we roll either a 2 or a 5 is calculated as: P (A∪B) = (1/6) + (1/6) = 2/6 = 1/3.