Download ALGEBRA 1 Lesson 2-7 “ Probability of Compound Events

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Name ___________________________
Class Period ____
Date __________________
ALGEBRA 1
Lesson 2-7
“ Probability of Compound Events”
Objective II: Finding the Probability of Dependent Events
LEQ:
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Eligible Content
M11.E.3.1.1
Find the probabilities of independent, dependent, or compound events
and present as a fraction, ratio, or a percent.
Vocabulary
Dependent Events – ___________________________________________________________________
_____________________________________________________________________________________
Key Concept
Probability of Two Independent Events
If event C and event D are independent events, then
P ( C then D ) =
Examples:
1.
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Dependent Events - Selecting Without Replacement
Suppose you have a bag of marbles containing 3 red marbles, 6 yellow marbles, and 9 blue
marbles. What is the probability of 1st picking a yellow marble and then
from the bag without replacing the 1st drawn marble?
P(yellow then red)
=
=
=
P ( yellow ) * P ( red after yellow )
picking a red marble
2.
Using the marbles from example 1, find the probability of picking a blue marble and then a yellow
marble without replacing the 1st drawn marble.
P(blue then yellow)
= P ( blue ) * P ( yellow after blue )
=
=
3.
Using the marbles from example 1, find the probability of picking a red marble and then a blue
marble without replacing the 1st drawn marble.
P ( red then blue )
= P ( red ) *
P ( blue after red )
=
=
Quick Check:
4.
Student Practice Problem
Find the probability of drawing a yellow marble and then another yellow marble from the bag
without replacing the 1st drawn marble.
P(yellow then yellow)
= P ( yellow ) * P ( yellow after 1st yellow )
=
=
Summary:
Explain the difference between independent and dependent events.
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Assignment: ________________________________________________________________________
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