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How do you find the probability of successive events?
In order to find the probability of several events occurring in succession, multiply the probabilities of the individual events. Successive events can be Independent or Dependent.
How many possible outcomes do a die has?
| Trial | Outcomes | Examples of Events |
|---|---|---|
| Rolling a die | There are 6 possible outcomes: {1, 2, 3, 4, 5, 6} | Rolling an even number: {2, 4, 6} Rolling a 3: {3} Rolling a 1 or a 3: {1, 3} Rolling a 1 and a 3: { } (Only one number can be rolled, so this outcome is impossible. The event has no outcomes in it.) |
How do you find the expected number of events?
The basic expected value formula is the probability of an event multiplied by the amount of times the event happens: (P(x) * n).
How do you determine the number of outcomes in an experiment?
The fundamental counting principle is the primary rule for calculating the number of possible outcomes. If there are p possibilities for one event and q possibilities for a second event, then the number of possibilities for both events is p x q.
What is the probability that both events occur?
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.
How many different outcomes are possible for 5 rolls of a die?
7776 possible outcomes
The last die may have six values. For each of these six values, the second- to-last die may have six values. Thus, we have 6·6 = 36 possible outcomes for the last two dice. By extension, we have a total of 65 = 7776 possible outcomes for all five dice.
What is the expected number in probability?
In a probability distribution , the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value , usually represented by E(x) .