Compound Probabilities

Compound Probabilities Quiz (independence and Venn Diagrams)

Quiz on Wednesday will cover two things

• Independent Prob. Equation

• Venn Diagram Probabilities

SO GREAT TO HEAR VOICES LAST WEEK

(y'all got extra credit)

Guided Group Today!

Isela, Alexa, Chris, Eddie, Gisselle and Caprice

Combining independent probabilites

To combine independent probabilities:

MULTIPLY THEM!

• Probability of A AND B occurring

• P(A AND B)=P(A) x P(B)

Multiple Choice

To find the probability of 2 or more events, you have to ________ the probability of each event.

• multiply

• divide

• add

• subtract

Multiple Choice

A letter of the alphabet is chosen at random, then a coin is flipped. What is the probability of choosing a letter from the word MATH then getting tails? 

• 17/26
• 1/13
• 5/13
• 5/26

Addition property of probability

Used when finding the probability that A OR B occurs

P(A OR B)=P(A)+P(B)-P(A AND B)

Multiple Choice

50 people students are asked what classes they are taking at Laney College. How many people are NOT taking either philosophy or sociology?

• 4

• 41

• 9

• 12

Multiple Select

What is the probability that a student selected at random is taking Philosophy and is NOT taking sociology? (select all correct answers)

• 18/50

• 12/50

• 36/100

• 9/50

Multiple Select

What is the probability that a student selected at random is taking Philosophy? (select all correct answers)

• 18/50

• 30/50

• 12/50

• 9/50

Poll

What is the probability that a student is taking Sociology OR Philosophy?

• 18/50

• 41/50

Multiple Choice

It's Saturday. You are deciding whether to go to Lake Merritt or to hike in Joaquin Miller State Park. There is a 50% chance you go to Lake Merritt and a 30% chance you go to Joaquin Miller. There is a 20% chance you do both!

If you drew a venn diagram, what is the number in the middle?

• 30%

• 50%

• 20%

• 0%

Multiple Choice

It's Saturday. You are deciding whether to go to Lake Merritt or to hike in Joaquin Miller State Park. There is a 50% chance you go to Lake Merritt and a 30% chance you go to Joaquin Miller. There is a 20% chance you do both!

What is the likelihood that you go to Lake Merritt and NOT Joaquin Miller?

• 60%

• 30%

• 80%

• 100%

Multiple Choice

It's Saturday. You are deciding whether to go to Lake Merritt or to hike in Joaquin Miller State Park. There is a 50% chance you go to Lake Merritt and a 30% chance you go to hiking. There is a 20% chance you do both!

What is the probability that you will go to EITHER the lake OR go hiking? (hint: what equation do we have for this?

• 60%

• 50%

• 80%

• 100%

How to Study for Wednesday's Quiz

-Venn Diagram Quizzizz due Wed

-Retake 3-15 "Compound Independent" Homework (optional)