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Counting Principle

Definition: A way of computing the possible number of outcomes in an experiment.

En Español: Una manera de calcular el número posible de resultados en un experimento.

Example: Callie has 3 shirts and 2 pairs of pants. How many outfits can she create? 3(2) = 6 outfits

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Observation:

Wonderful. But getting dressed is not an experiment.

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Q: What is a way of computing the possible number of outcomes in an experiment?
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Total possible outcomes?

Is the number of all possible outcomes of an experiment. The number depends on the experiment.


A possible result of an experiment?

when you toss a coin three times, the total number of possible outcomes is


A sweater comes in 3 sizes and 6 colors what is the number of possible outcomes?

The number of outcomes depends on what the experiment is! If the variable of interest is the size, there are just three outcomes. If the variable of interest is price, then there is not enough information to determine the possible outcomes.


What is the equation of probability?

The probability of an event occurring can be found by dividing the number of favorable outcomes (what you want to happen) by the number of possible outcomes number of favorable outcomes probability = _________________________ number of possible outcomes


An experiment consists of flipping a fair coin and rolling a fair die How many possible outcomes have a head and an odd number?

3 of them.


How do you find probability from a probability generating function?

you ether use a graph tree diagram or web diagram to answer the possible outcomes of the question possible outcomes meaning the number of outcomes the person will have in the probability or divide the number of favourable outcomes by the number of possible outcomes favorible outcomes meaning the number of outcomes all together


How do you construct an frequency distribution table?

You carry out an experiment a number of times. You make a list of all possible outcomes and record the number of times that outcome occurred.


What occurs when conducting a probability experiment?

An experiment is carried out repeatedly. The total number of times the experiment is conducted and the number of times in which the results are outcomes of interest are recorded. These counts are then used to calculate the experimental probabilities of the outcomes.


How do you find the sample space of an experiment where you flip a coin 6 times and note the number of heads?

The sample space consists of all the possible outcomes. A flip of a coin has 2 outcomes, H,T. The total number of outcomes for 6 flips are 26 or 64.


What is the sample space for choosing a letter from the word probability?

11 * * * * * No, on two counts. The sample space is the possible outcomes of the experiment, not the NUMBER of possible outcomes. And, as far as this experiment is concerned, there is no way to distinguish between the two occurrences of b and i. So there are, in fact, only 9 possible outcomes. Two of these outcomes have a higher probability but that is a different matter. The sample space is {p, r , o , b, a, i, l, t, y} a set of cardinality 9.


How do you do a probability?

Number of useful outcomes over number of possible outcomes and simplify it if you can. Imagine you want an even number and you roll a die. There are 6 possible outcomes and three of them are useful outcomes (outcomes we want). 3 6 Simplify it and you get 1 2


What is the ratio of favorable outcomes to the number of possible outcomes?

1023:1022