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If A and B are independent events with probabilities 2 to 5 and 3 to 5 what is the probability that events A and B both occur?
Wiki User
∙ 14y ago
its most ikely 6 to 25 or 1 to 4 or 1 to 2 or 1 or 6 to 5........i hope this helps now you have 4 choices and one could be the answer.
Wiki User
∙ 14y ago
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When looking at 2 possible events how do you calculate the probability?
are they dependent or independent? define success and failure for the 2 events. probability of success (EX: drawing a face card) = number of possible successes / total possible events. Multiply the two separate probabilities to get the probability that both occur.
What is the probability of independent events?
If you mean the probability that independent events will occur, it is the product of the individual probabilities that they occur. Ex: Probability of picking a red marble from a jar with 4 red and 6 green marbles and picking a black card from a deck of 52. P(red) = 4/10 = 2/5 P(black card0 = 26/52 = 1/2 P(both) = 2/5 x 1/2 = 1/5
What is the Role of Independence in the topic of probabilities and is there an example of it?
There is a wonderful and brief explanation at the link. One thought: Without the concept of independence, the accurate probability that two events will occur together would be a problem. You need to know if the events are dependent on one another in some way. If I roll two fair dice, what is the probability that I will roll two sixes? I know that the events (the results I get from the two dice) are independent of one another. So the probability of their happening together is the product of the probabilities that they will happen independently.
What is it called when two events can occur with the same probability?
equiprobable events.
What should occur in a probability experiment?
An event, unless it already had been occured and the experiment tries to resolve posterior probabilities on the event
If two events are independent the probability that both occur is?
That probability is the product of the probabilities of the two individual events; for example, if event A has a probability of 50% and event B has a probability of 10%, the probability that both events will happen is 50% x 10% = 5%.
What is addition and multiplication theorems on probability with examples?
When considering the probability of two different events or outcomes, it is essential to clarify whether they are mutually exclusive or independent. If the events are mutually exclusive, then the probability that either one or the other will occur equals the sum of their individual probabilities. This is known as the law of addition. If, however, two or more events or outcomes are independent, then the probability that both the first and the second will occur equals the product of their individual probabilities. This is known as the law of multiplication.
When looking at 2 possible events how do you calculate the probability?
are they dependent or independent? define success and failure for the 2 events. probability of success (EX: drawing a face card) = number of possible successes / total possible events. Multiply the two separate probabilities to get the probability that both occur.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
If two events are mutually exclusive what is the probability that one or the other occurs?
Add the probabilities of the two events. If they're not mutually exclusive, then you need to subtract the probability that they both occur together.
What is the probability of independent events?
If you mean the probability that independent events will occur, it is the product of the individual probabilities that they occur. Ex: Probability of picking a red marble from a jar with 4 red and 6 green marbles and picking a black card from a deck of 52. P(red) = 4/10 = 2/5 P(black card0 = 26/52 = 1/2 P(both) = 2/5 x 1/2 = 1/5
What is the Role of Independence in the topic of probabilities and is there an example of it?
There is a wonderful and brief explanation at the link. One thought: Without the concept of independence, the accurate probability that two events will occur together would be a problem. You need to know if the events are dependent on one another in some way. If I roll two fair dice, what is the probability that I will roll two sixes? I know that the events (the results I get from the two dice) are independent of one another. So the probability of their happening together is the product of the probabilities that they will happen independently.
What do you mean by probability?
Probability is a measure of the expectation that an event will occur or a statement is true. Probabilities are given a value between 0 (will not occur) and 1 (will occur).[1] The higher the probability of an event, the more certain we are that the event will occur.
What is the probability that an event will definitely occur?
If the event will definitely occur, then its probability is 1.Not asked, but answered for completeness sake - if the event will definitely not occur, then its probability is 0. All probabilities lie between 0 and 1, inclusive.
Probability of an event occurring to the probability that it won't occur?
These events are complementary. Let P(A) = probability event will occur. Then the probability it will not occur is: 1 - P(A).
What are the rules of probability?
Basic Rules of Probability:1) The probability of an event (E) is a number (fraction or decimal) between and including 0 and 1. (0≤P(E)≤1)2) If an event (E) cannot occur its probability is 0.3) If an event (E) is certain to occur, then the probability if E is 1. This means that there is a 100% chance that something will occur.4) The sum of probabilities of all the outcomes in the sample space is 1.Addition Rules/Formulas:When two events (A and B) are mutually exclusive, meaning that they can't occur at the same time or they have no outcomes in common, the probability that A or B will occur is:P(A or B)= P(A)+P(B)If A and B are not mutually exclusive, then:P(A or B)= P(A)+P(B)-P(A and B)Multiplication Rules/Formulas:When two events (A and B) are independent events, meaning the fact that A occurs does not affect the probability of B occurring (for example flipping a coin, rolling a die, or picking a card), the probability of both occurring is:P(A and B)= P(A)P(B)Conditional Probability-When two events are dependent (not independent), the probability of both occurring is:P(A or B)= P(A)P(B|A)Note: P(B|A) does not mean B divided by A but the probability of B after A.
What is it called when two events can occur with the same probability?
equiprobable events.
