To find the probability of two events occurring together, you have to decide whether one even...
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Transcript of To find the probability of two events occurring together, you have to decide whether one even...
![Page 1: To find the probability of two events occurring together, you have to decide whether one even occurring affects the other event. * Dependent Events—the.](https://reader036.fdocuments.in/reader036/viewer/2022082412/5a4d1b357f8b9ab05999c869/html5/thumbnails/1.jpg)
*Probability of Multiple Events
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Dependent or Independent?
To find the probability of two events occurring together, you have to decide whether one even occurring affects the other event.
*Dependent Events—the outcome of a second event depends on what happens first.
*Independent Events—the first outcome does not affect the second outcome
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Dependent or Independent?
1. Roll a number cube. Then spin a spinner.
2. Pick one flash card, then another from a stack of 30 flash cards.
3. Draw one marble from a bag, then replace it and draw another.
4. Draw one marble from a bag, then draw another without replacing.
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Probability of A and B
If A and B are independent events, then
Example: At a picnic there are 10 diet drinks and 5 regular drinks. There are also 8 bags of barbecue chips and 12 bags of regular chips. If you grab a drink and bag of chips, what is the probability that you get a diet drink and regular chips?
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Mutually Exclusive Events
Two events that cannot happen at the same time are called mutually exclusive.
You roll a standard die. Are these events mutually exclusive?
1. Rolling a 2 and a 32. Rolling an even number and a multiple of 33. Rolling an even number and a prime number
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Probability of A or B
If A and B are mutually exclusive events, then
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Examples
*A student can take one foreign language each term. About 37% of students take Spanish. About 15% of students take French. What is the probability that a student chosen at random is taking Spanish or French?
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Example
Suppose you reach into this dishand select a token. What is theprobability that the token isround or green?