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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.
What is the definition of overlapping events?
events that have one or more outcomes in common.
What is the definition of compound probability?
Two independent events occurring.
Definition of independent events?
when the occurance of an event B is not affected by the occurance of event A than we can say that these events are not dependent with each other
What is the definition of mutually exhaustive events?
It means that two events cover the spectrum of possible events. For instance, with respect to flipping a coin, the event of getting heads and the event of getting tails are mutually exhaustive. There is not another outcome of events possible when flipping a coin.
How would you find the total number of possible outcomes of 2 independent events occurring at the same time?
They are the product of the number of possible outcomes for each of the component events.
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.
Which is a pair of independent events?
Two events are independent if the outcome of one has no effect on the probability of the outcomes for the other.
How do you find the probability of disjoint events?
Multiply the possible outcomes of the events in the disjoint events
What is the definition of overlapping events?
events that have one or more outcomes in common.
What is used in probabilty when looking for the outcomes of 2 events?
Whether the events are independent or dependent, whether or not they are mutually exclusive.
How many outcomes are there in common in complementary events?
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If there are 13 events with 2 possible outcomes in each How many total outcomes are there for all 13 events?
I assume you mean how many possible outcomes when looking at all 13 results. It would be 2^13 = 8192
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.
Explain when it would be more useful to use the Counting Principle than a tree diagram to count possible outcomes of an event?
When there are two or more events that are independent then counting is usually simpler.
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 collectively exhaustive events?
It is a set of events that, taken together, include all possible outcomes.
