Fundamental rule of counting

What Fundamental rule of counting is

The Fundamental Rule of Counting is a technique used in statistics to determine the number of possible outcomes for a given situation. The rule states that if there are n different possible outcomes for the first event, and m different possible outcomes for the second event, then the total number of possible outcomes for both events is n x m.

The steps for the Fundamental Rule of Counting are as follows:

  1. Identify the number of different possible outcomes for the first event.

  2. Identify the number of different possible outcomes for the second event.

  3. Multiply the number of outcomes for the first event by the number of outcomes for the second event. This is the total number of possible outcomes for both events.

  4. Repeat steps 1-3 for each additional event.

  5. Add all of the results together to determine the total number of possible outcomes.

Examples

  1. Estimating the number of voters in an election: The Fundamental Rule of Counting states that the number of possible outcomes of a sequence of events is the product of the number of possible outcomes of each individual event. So, to calculate the number of possible voters, you must multiply the total number of eligible voters by the total number of voting options.

  2. Determining the number of possible combinations for a lottery: The Fundamental Rule of Counting states that the number of possible outcomes of a sequence of events is the product of the number of possible outcomes of each individual event. So, to calculate the number of possible combinations for a lottery, you must multiply the total number of balls in the lottery by the total number of possible numbers for each ball.

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