Download presentation
Presentation is loading. Please wait.
Published bySolomon Barton Modified over 8 years ago
1
Probability of Independent Events M8D3. Students will use the basic laws of probability M8D2. Students will determine the number of outcomes related to a given event. B. Apply the multiplication principle of counting.
2
Probability(P) is the way to measure the likelihood that an event will occur. Probability can be expressed as a ratio, decimal or percent. Probability =
3
Two events are independent events when the outcome of one event has no effect on the outcome of the other event. EXAMPLE FIRST EVENT: Tossing a coin and getting HEADS SECOND EVENT: Rolling a die and getting a number less than 5 Does how the coin lands determine how the die lands? No, they are independent of one another!
4
Let’s investigate how to determine the probability of Independent Events
5
What is the probability of tossing a coin and getting tails and rolling a die and getting a number less than 5. P(T, # < 5)? What is P(Tails, a number less than 5)? P(Tails) = = P(a number less than 5) = = Now, what? What is P(T, #<5)? How can we determine the probability of independent events?
6
Yes! To determine the probability of 2 independent events, multiply the probabilities of the two events to get the probability of both events together!!!! This is called the Multiplication Principle of Counting.
7
Let’s Practice! A bag contains 6 white, 3 swirled and 1 black marble. A marble is drawn without looking and returned to the bag. Then a second marble is drawn. 1. What is the probability that both marbles are swirled? P(swirled, swirled) = 2. What is the probability that the first marble is black and the second marble is white? P(black, white) =
8
Will the multiplication principle work for more than 2 events? Let’s see? 3. What is the probability that the first marble is black, the second marble is white and the third marble is swirled? P(black, white, swirled) =
9
Now, try some by yourself! Brenda rolls two dice. 4. What is the probability that 4 will come up on each die? 5.P(2, even)= 6.P(odd, odd)= 7.P(red, 4)= 8.P(even, odd)= 4.P(4,4) = 1:36 5.P(2, even)= 1:12 6.P(odd, odd)=1:4 7.P(red, 4)= 0 8.P(even, odd) = 1:4
10
Next complete the worksheet that your teacher has for you! Remember to… SHOW ALL WORK!
Similar presentations
© 2024 SlidePlayer.com Inc.
All rights reserved.