Independent events common core algebra 2 homework answer key

I'm having trouble wrapping my head around this.

A number is selected randomly from 1 to 20 inclusive.

• E is the event you choose an even number

• F is the event you choose a number 12 or more.

Ok. What does independence mean in this situation in simple English. I know P(E)=10/20, P(F)=9/20, and P(E and F) will be 5/20. Therefore P(E and F) does not equal to P(E) and P(F) so they aren't independent.

Ok. If event F is changed to choosing a number 12 or less.

P(E)=10/20, P(F)=12/20, and P(E and F)=6/20. So these events are independent now because P(E and F)=P(E) * P(F)?

What does it mean when these two events are dependent or independent? My simple understanding was that independence occurs when one event does not affect another.

• Unit 12 Review – Probability

• Unit 12 Assessment Form A

• Unit 12 Assessment Form B

• Unit 12 Assessment Form C

• Unit 12 Assessment Form D

• Unit 12 Mid-Unit Quiz (Through Lesson 4) – Form A

• Unit 12 Mid-Unit Quiz (Through Lesson 4) – Form B

• Unit 12 Mid-Unit Quiz (Through Lesson 4) – Form C

• U12.AO.01 – Die Rolling Probability Activity

• U12.AO.02 – Lesson 5.5 Independent Events – Enrichment

• U12.AO.03 – Additional Practice with Conditional Probability

• U12.AO.04 – More Work with Independence

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Middle School / Math / Algebra

emathinstruction

Feb 27, 2017

7685 views

Algebra

In this lesson, we look at what makes two events independent of each other and how this relates to conditional probability.

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