Download Chapter 10.7 idependent and dependent events.notebook

Chapter 10.7 idependent and dependent events.notebook
Bellwork:
April 28, 2017
Homework Questions???
Solve each system by substitution.
1.
2.
Find the theoretical probability of each outcome.
3) rolling a 6 on a six­sided dice
4) rolling an odd on a six­sided dice
5) tossing a coin and it landing heads up Apr 28­9:54 AM
Apr 28­9:58 AM
What do the terms independent and dependent mean?
Independent ­
Dependent ­ Chapter 10.7 Independent and Dependent Events
Find the probability of independent events. Find the probability of dependent events.
Give an example of two events that are independent from each other?
Give an example of two events that are dependent on each other?
Apr 28­9:59 AM
Apr 28­9:59 AM
Independent events ­ the occurrence of one event does not affect the probability of the other event.
Dependent events ­ if the occurrence of one event does affect the probability of the other.
1) Classify the following as independent or dependent events.
In an experiment we are going to toss two coins. The following diagram shows the sample space. Find the theoretical probability of both coins landing heads up.
1st Coin
2nd coin
Outcome
HH
a. You select a card form a standard deck of cards and hold it. A friend selects another card form the same deck.
HT
TH
b. You toss a coin and it lands heads up. You toss the same coin and it lands heads up again.
TT
c. A number cube lands showing an odd number. It is rolled again a second time and lands showing a 6.
Apr 28­10:04 AM
Apr 28­10:08 AM
1
Chapter 10.7 idependent and dependent events.notebook
April 28, 2017
Probability of Independent Events:
If A and B are independent events, then P(A and B) = P(A) P(B)
2) Find the probability of independent events
a. an experiment consists of randomly selecting a marble from a bag, replacing it, and then selecting another marble. The bag contains 3 red marbles and 12 green marbles. What is the probability of selecting a red marble and then a green marble. Suppose an experiment involves drawing marbles form a bag. Determine the theoretical probability of drawing a red marble and then drawing a second red marble without replacing the first one. 1st draw
2nd draw
b. A coin is tossed 4 times. What is the probability of getting 4 heads in a row?
Apr 28­10:14 AM
Apr 28­10:18 AM
Probability of Dependent Events
If A and B are dependent events, then P(A and B) = P(A) P(B after A).
3) a. A snack cart has 6 bags of pretzels and 10 bags of chips. Grant selects a bag at random. What is the probability that Grant will select a bag of pretzels and Iris will select a bag of chips?
b. A bag has 10 red marbles, 12 white marbles, and 8 blue marbles. Two marbles are randomly drawn from the bag. What is the probability of drawing a blue marble and then a red marble?
Apr 28­3:48 PM
Before finding probability of two events you first must determine what?
Apr 28­3:59 PM
4) Suppose you have a coin jar containing two nickels, three dimes, and five quarters. You pick a coin, replace it, and then pick a second coin. Find the probability.
P(nickle and quarter)
5) Suppose you have a coin jar containing two nickels, three dimes, and five quarters. You pick a coin, keep it, and then pick a second coin. Find the probability.
P (two dimes)
Apr 28­3:53 PM
Homework
P. 744­747 # 1­23, 29­39 (odds)
Apr 28­4:00 PM
2