General

What is the formula for the fundamental counting principle?

What is the formula for the fundamental counting principle?

Basically, you multiply the events together to get the total number of outcomes. The formula is: If you have an event “a” and another event “b” then all the different outcomes for the events is a * b.

How do you determine the number of possible outcomes that more than one event has?

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.

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What is the process that has a number of possible outcomes in which the result Cannot be predicted?

Random experiment : is a process or activity which produces a number of possible outcomes. The outcomes which result cannot be predicted with absolute certainty.

How do you find the total number of outcomes in a sequence of events using the fundamental counting rule?

The fundamental counting principle states that if there are n(A) outcomes in event A and n(B) outcomes in event B, then there are n(A)×n(B) outcomes in event A and event B combined. The order in which the experiments are done does not affect the total number of possible outcomes.

What is the fundamental principle of counting provide an example?

Fundamental Principle of Counting Example: A restaurant has 5 appetizers, 8 beverages, 9 entrees, and 6 desserts on the menu. If you have a beverage and a dessert, there are 8*6=48 different meals consisting of a beverage and dessert. Then there are 5*9*6*8=2160 different meals.

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How do you find the probability of more than one event?

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 outcomes are possible for one event of a binomial experiment?

Binomial probability refers to the probability of exactly x successes on n repeated trials in an experiment which has two possible outcomes (commonly called a binomial experiment). If the probability of success on an individual trial is p , then the binomial probability is nCx⋅px⋅(1−p)n−x .

When the outcome of an event is affected by another event the two events are?

Two events are dependent if the first event affects the outcome or occurrence of the second event in a way the probability is changed.

How do you find the number of events in a sample space?

All we have to do is multiply the events together to get the total number of outcomes. Using our example above, notice that flipping a coin has two possible results, and rolling a die has six possible outcomes. If we multiply them together, we get the total number of outcomes for the sample space: 2 x 6 = 12!

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When you use the fundamental counting principle what are you counting?

The fundamental counting principle is a rule used to count the total number of possible outcomes in a situation. It states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m n\times m n×m ways to perform both of these actions.

What is fundamental principle of counting class 11?

Fundamental Principle of Counting: If an event can occur in m different ways, following which another event can occur in n different ways, then the total number of occurrence of the events in the given order is m × n.