Independent and Dependent Events Unit 5A Probability Independent and Dependent Events

Lesson 7: Independent and Dependent Events Objective: Swbat find the probability of independent and dependent events. Do Now:

Lesson 7: Independent and Dependent Events Definition Independent Events is when one event does not affect the outcome of the other event. Dependent Events is when the outcome of one event affects the outcome of another event.

Lesson 7: Independent and Dependent Events Independent Events The probability of two independent events can be found by multiplying the probability of the first event by the probability of the second event. P(A and B) = P(A) ∙ P(B)

Lesson 7: Independent and Dependent Events Example 1: Independent Events (tile and spinner don’t change) Four tiles with letters (A, B, E, G) A spinner with letters (A, B, C) One letter tile is selected and the spinner is spun. What is the probability that both will be a vowel? P(selecting a tile with a vowel ) = P(spinning a vowel) = P(both vowels) =

Lesson 7: Independent and Dependent Events Example 2: Independent Events(Number Cube and Spinner don’t change) Number Cube with numbers (1,2,3,4,5,6) A spinner with colors (red,green,yellow,blue,purple) What is the probability of not spinning a blue and rolling a 3 or 4? P(not blue ) = P(3 or 4) = P(not blue and 3 or 4) =

Lesson 7: Independent and Dependent Events Probability of Dependent Events If two events, A and B are dependent, then the probability of both events occurring is the product of the probability of A and the probability of B after A occurs. P(A and B) = P(A) ∙ P(B following A)

Lesson 7: Independent and Dependent Events Example 1: Dependent event There are 4 oranges, 7 bananas, and 5 apples in a fruit basket. Jane selects a piece of fruit at random and Steve selects a piece of fruit at random. a. Find the probability that two apples are chosen. P(first apple) = P(second apple) = P(2 apples) =

Lesson 7: Independent and Dependent Events Example 1: Dependent event b. Find the probability that two bananas are chosen. P(first banana) = P(second banana) = P(2 bananas) = c. Find the probability that an orange then an apple are chosen. P(orange) = P(apple) = P(orange then apple) =

Classwork Guided Practice #1 – 4 Independent Practice #1 – 10 Problem Solving Practice #1 - 6

Closure Question: What is the difference between an independent event and dependent event? Exit Ticket Homework: Practice # 1 - 15

Exit Ticket A number cube is rolled and a letter is selected from the word AMERICA. Find P(less than 4 and a vowel) Find P(greater than 1 and a consonant)

Homework