Download Independent Dependent Probability Example

Chapter 5 Apply Proportionality to Probability
Lesson 5-5 Independent and Dependent Events
Page 423
3 A number cube is rolled and a marble is selected at random
2
from the bag at the right. Determine P(even and yellow).
Show your work.
The events are independent because rolling a number cube does not
affect the outcome of selecting a marble.
First, determine the probability of each event.
3  number of ways to roll an even number
P(even) 
6  number of possible outcomes
1

2
2  number of ways to select yellow
P(yellow) 
8  number of possible outcomes
1

4
Then, determine the probability of both events occurring.
1 1
P(even and yellow)  
P(A and B) = P(A) • P(B)
2 4
1
Multiply.

8
5 A carnival game wheel has 12 equal sections. One of the sections contains a
2 star. To win a prize, players must land on the section with the star on two
consecutive spins. What is the probability of a player winning?
The events are independent because landing on a star on one spin does not affect
the outcome of the second spin.
First, determine the probability of each event.
P(star on first spin)
P(star on second spin)
Then, determine the probability of both events occurring.
P(star and star)
Texas Math, Course 2
or
P(A and B) = P(A) • P(B)