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Multiplication Principle of Counting

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When do you add or multiply combination?

You add when you're combining different groups or categories of items, such as when calculating the total number of possible outcomes from different events. You multiply when you're determining the total number of outcomes from multiple independent events happening simultaneously, as each outcome in one event can pair with outcomes in another. For example, if you have two dice, you would multiply the number of sides on each die (6 x 6) to find the total number of possible outcomes.


What is the definition of counting principal?

Counting Principle is used to find the number of possible outcomes. It states that if an event has m possible outcomes and another independent event has n possible outcomes, then there are mn possible outcomes for the two events together.


How does the number of possible outcomes of a single event help you determine the total number of possible outcomes of a compound event?

The total number of possible outcomes of a compound event can be determined by multiplying the number of possible outcomes of each individual event. This is based on the fundamental principle of counting, which states that if one event can occur in (m) ways and a second event can occur independently in (n) ways, the two events together can occur in (m \times n) ways. This multiplication applies to any number of independent events, allowing for a systematic way to calculate the total outcomes for more complex scenarios.


What is the mathematical chance that an event will occur?

The number of possible outcomes that matches the event divided by the total number of possible outcomes is the probabilityof that event.


For a given event what is the result of dividing the number of successful outcomes by the number of possible outcomes?

Probability


The what of event is the number of ways that the event can occur over the number of possible outcomes?

probability


The ratio of the number of ways an event can occur to the number possible outcomes?

number of outcomes divided by the number of ways of occurrence


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


What event is the ratio of possible event outcomes to total possible outcomes?

The event described is known as a probability event. In this context, the ratio represents the likelihood of a specific outcome occurring compared to all possible outcomes in a given scenario. This ratio can be expressed as a fraction, where the numerator is the number of favorable outcomes for the event, and the denominator is the total number of possible outcomes. Probability values range from 0 (impossible event) to 1 (certain event).


What in an event is the ratio of the number of favorable outcomes to the number of possible outcomes?

That's the 'probability' of a favorable outcome.but only if the outcomes are equally likely.


Probability of tossing a 5 in a number cube?

The probability of an event is the number of favourable outcomes divided by the total number of possible outcomes. What is the total number of possible outcomes of tossing a number cube? 6 How many outcomes are favourable to the event of getting a five? 1 So the prob is 1/6 or 0.16667


What is the formula in finding the probability of an event?

If you can enumerate the outcome space into equally likely events, then it is the number of outcomes that are favourable (in which the event occurs) divided by the total number of outcomes.