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Probability. Independent and Dependent Events. There are 6 different types of pizza on a buffet. In how many different ways can a person choose 4 of those types to eat?. One Minute Question.
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Probability Independent and Dependent Events
There are 6 different types of pizza on a buffet. In how many different ways can a person choose 4 of those types to eat? One Minute Question
Events are independent events if the occurrence of one event does not affect the probability of the other. Independent Events
The act of tossing a coin 3 times is considered independent . Picking 2 successive socks from a drawer is not. Independent Events
When rolling 2 regular 6-sided dice, what is the probability that the red one shows an even number and the blue one shows “3”? Independent Events
If A and B are independent events, then P(A and B) = P(A)P(B). Independent Events
Make a table of hair color and eye color in our class New problem
What is the probability that a person has brown hair and brown eyes? What is the probability that a person with brown hair has brown eyes? What is the probability that a person with brown eyes has brown hair? Questions
The probability that B happens, given the condition that A has happened (or also happens) is called the conditional probability and is written P(B|A). • Conditional Probability
Are eye color and hair color independent events in this class? Question
Events are dependent if the occurrence of one event affects the probability of the other. Dependent Events
If A and B are dependent events, then P(A and B) = P(A)P(B|A). (It’s easier to change the sample space!) Dependent Events
Quick concept check worksheet Homework! Classwork! Worksheet, to be checked tomorrow
In your book: Page 199: 3 – 9 odd, 13 – 16, 17 – 23 odd, 24, 29, 32 – 34, 36 - 39. Page 207: 9(a)b,c, 11, 14 - 16 (Optional) Extra Practice!