![]() If the first letter selected was a consonant, which changes the number of letters in the container to 10 and the total number of consonants to 6. Find the probability that the first letter selected is a consonant. Since the first letter drawn is not replaced, the sample space is different for the second letter, so the events are dependent. If two letters are chosen at random, what is the probability that both will be consonants? The letters in the word mathematics are placed in a container. There are 6 numbers on each cube so you add the probabilities together to see the probability of getting the same number. Remember that rolling two number cubes represents two independent events. You can also use the formula for probability of independent events to find the probability. The sample space shows there are 36 outcomes and that 6 of those are doubles. You can make a table to show the sample space: 1, 1 Kelly could roll the same number 1 out of 6 times. Notice that there are 36 outcomes in the sample space and that there are 6 outcomes where the number cubes are the same. You can create a Tree Diagram to show the sample space: Represent the sample space and find all of the ways that Kelly could roll the same number. To move her game piece, she must roll the same number on two number cubes (1-6). Kelly and her friends are playing a board game. Calculate the probability that the second event would occur if the first event had already occurred.) In other words, multiply the probability of the first by the probability of the second AFTER the first: P(A and B) = P(A) x P(B after A) Probability of dependent events: (Calculate the probability of the first event. ![]() Probability of independent events (Multiply the probabilities): P (A and B) = P (A) * P (B).Remember that you can use sample spaces (tree diagrams, tables, and organized lists) to find the probability of compound events. The probability of a compound event is the ratio of favorable outcomes to total outcomes in the sample space for which the compound events happen. Example: One student selects a book from the class library, and then another student selects a book from the remaining books.Example: Draw a marble from a bag of assorted marbles, and then draw another marble from the bag without replacing the first marble.Example: Draw a marble from a bag of assorted marbles, replace the marble, and draw another.ĭependent events are events in which the outcome of one event does affect the probability of the other.Example: Toss a coin twice – The result of one toss has no effect on the result of the other toss.Independent events are events in which the outcome of one event does not affect the probability of the other. ![]() In order to find the probability of a compound event, it is important to understand if it is an independent or dependent event. Well, a compound event is composed of two or more separate events. They are composed of at least two complete sentences. ![]() You will also learn how to set up simulations for experiments and determine outcomes from these simulations. You will see how to create probability models that show the sample space for compound events and how to calculate arrangements by using factorials. In this lesson you will learn about compound events, composed of independent and dependent events.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |