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When two events can occur with the same probability?
Equal
If two events are mutually exclusive what is the probability that both occur at the same time?
The probability is 0. Consider the event of tossing a coin . The possible events are occurrence of head and tail. they are mutually exclusive events. Hence the probability of getting both the head and tail in a single trial is 0.
Is the poisson probability of three events in one hour the same as the probability of 36 events in one day?
No. There are 24 hours in a day, not 12!
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.
Event A has probability 0.4 event B has probability 0.5 If A and B are disjoint then the probability that both events occur is?
If two events are disjoint, they cannot occur at the same time. For example, if you flip a coin, you cannot get heads AND tails. Since A and B are disjoint, P(A and B) = 0 If A and B were independent, then P(A and B) = 0.4*0.5=0.2. For example, the chances you throw a dice and it lands on 1 AND the chances you flip a coin and it land on heads. These events are independent...the outcome of one event does not affect the outcome of the other.
