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7 Cards in this Set
- Front
- Back
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What are mutually exclusive events |
Events that cannot happen at the same time |
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P(A) = 0,6 P(B) = 0,3 P(A or B) = 0,8 Are these events mutually exclusive? |
Use probability formula P(A and B) = 0,6 + 0,3 -0,8 = 0,1 A and B are not mutually exclusive because it is not equal to 0 |
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What is the probability formula (General Addition rule) and when to use it |
P(A or B) = P(A) + P(B)
1. **When to use the General Addition Rule:**
- Imagine you have two candies, candy A and candy B. If you can have both candies at the same time, you need to use this rule.
The key difference is whether the events can happen together (use the general rule with subtraction) or they cannot (use the special rule with addition). |
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What is the probability formula ( special addition rule) and when to use it |
P(A or B) = P(A) + P(B) - P(A and B) **When to use the Special Addition Rule (for Mutually Exclusive Events):** - Now, think of two different toys, toy A and toy B. You can only play with one at a time, not both together. - To know how many toys you have in total, just add the toys in A and the toys in B. You don't need to take any away because you can only play with one at a time. |
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How to determine if two events are independent |
1.Determine P(A and B) (Mostly you can find them on the graph) 2. Determine P(A) and P(B) then multiply them.
If answers are the same , then A and B are independent, else they are not independent.
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What are complimentary events |
If one event happens, the other cannot. Complementary events are often denoted as A and A', where A' represents the event that is the opposite or complement of event A. For example, consider flipping a coin. You have two complementary events:1. Event A: Getting a "Heads" when you flip the coin.2. Event A': Getting a "Tails" when you flip the coin. If you add the probabilities of these two complementary events together, they should equal 1 (100% certainty) because one of them must occur when you flip a coin.So, in summary, complementary events are two events that together cover all possible outcomes and have no overlap. When you find the probability of one event, you can easily find the probability of its complementary event by subtracting it from 1. |
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Equation for complimentary events |
The formula for finding the probability of complementary events is simple:P(A) + P(A') = 1- P(A) represents the probability of event A.- P(A') represents the probability of the complementary event A'.- The sum of the probabilities of these complementary events equals 1, which represents 100% certainty.So, to find the probability of event A', you can simply subtract the probability of event A from 1:P(A') = 1 - P(A) |
