Mutually Exclusive Events & The Addition Rule for Probability

DAY 53 - Monday, 4/3

Lesson: 5.3 Mutually Exclusive Events and the Addition Rule for Probability

> notes and examples

> practice worksheet

​REMINDER - Due to WIN Testing, our class will be relocated tomorrow

Think about it...

Can you flip both heads and tails and the same time on the same coin?

Can you roll one die and get an even number and a prime number on the same roll?

Can Batman and Bruce Wayne be seen in the same room at the same time?

Can Batman and Catwoman be seen in the same room at the same time?

Two events are considered mutually exclusive if they cannot occur at the same time.

Labelling

You are rolling two dice and finding the sum.

Fill in the Venn Diagram with each element in the sample space.​

Drag labels to their correct position on the image

3

4

10

9

6

11

2

5

8

7

Multiple Select

We are rolling 1 die 1 time.

Which of the events ​ are mutually exclusive?

• Rolling an even number and a 3

• Rolling an even number and a prime number

• Rolling a 2 and a 4

• Rolling an even number and an odd number

• Rolling an odd number and a multiple of 3

Multiple Select

We are randomly selecting one student from this class.

Which of the events ​are mutually exclusive?

• A student whose name starts with a "J" 11th grader

• A 12th grader and a student who has a job

• A student who is passing the class and a student who is not passing the class

• A student who was on time for class and a student whose name starts with a "T"

• A student who sits in the front of the classroom and a student who sits in the back

Multiple Select

You are randomly selecting one card from a standard deck of playing cards.

Which of the events are mutually exclusive?

• A heart and a king

• A face card and a black card

• A spade and a red card

• An even number and a face card

• A red face card and an ace

ADDITION RULE for MUTUALLY EXCLUSIVE EVENTS

Math Response

You roll 1 die 1 time. What is the probability that you roll an even number? Give your answer as an UN-simplified fraction.

Type answer here

Correct Answer: \frac{3}{6}

Deg^°

Rad

Math Response

You roll 1 die 1 time. What is the probability that you roll a 3? Give your answer as an UN-simplified fraction.

Type answer here

Correct Answer: \frac{1}{6}

Deg^°

Rad

Math Response

You roll 1 die 1 time. What is the probability that you roll an even number or a 3? Give your answer as a decimal rounded to the nearest hundredth if necessary.

Type answer here

Correct Answer: 0.67

Deg^°

Rad

Math Response

You randomly pull one card from a standard deck of playing cards. What is the probability you pull an ace? Give your answer as an UN-simplified fraction

Type answer here

Correct Answer: \frac{4}{52}

Deg^°

Rad

Math Response

You randomly pull one card from a standard deck of playing cards. What is the probability you pull a face card? Give your answer as an UN-simplified fraction

Type answer here

Correct Answer: \frac{12}{52}

Deg^°

Rad

Math Response

You randomly pull one card from a standard deck of playing cards. What is the probability you pull an ace or a face card? Give your answer as a decimal rounded to the nearest hundredth if necessary.

Type answer here

Correct Answer: 0.31

Deg^°

Rad

ADDITION RULE for NON-MUTUALLY EXCLUSIVE EVENTS

Math Response

You roll 1 die 1 time. What is the probability that you roll an even number? Give your answer as a UN-simplified fraction.

Type answer here

Correct Answer: \frac{3}{6}

Deg^°

Rad

Math Response

You roll 1 die 1 time. What is the probability that you roll a 4? Give your answer as a UN-simplified fraction.

Type answer here

Correct Answer: \frac{1}{6}

Deg^°

Rad

Math Response

You roll 1 die 1 time. What is the probability that you roll an even number OR a 4? Give your answer as a decimal rounded to the nearest hundredths place if necessary.

Type answer here

Correct Answer: 0.5

Deg^°

Rad

Math Response

You randomly pull one card from a standard deck of playing cards. What is the probability you pull a club? Give your answer as an UN-simplified fraction

Type answer here

Correct Answer: \frac{13}{52}

Deg^°

Rad

Math Response

You randomly pull one card from a standard deck of playing cards. What is the probability you pull an even number? Give your answer as an UN-simplified fraction.

Type answer here

Correct Answer: \frac{20}{52}

Deg^°

Rad

Math Response

You randomly pull one card from a standard deck of playing cards. What is the probability you pull a club OR an even number? Give your answer as a decimal rounded to the nearest hundredth if necessary.

Type answer here

Correct Answer: 0.54

Deg^°

Rad

Math Response

You randomly pull one card from a standard deck of playing cards. What is the probability you pull a face card OR a diamond? Give your answer as a decimal rounded to the nearest hundredth if necessary.

Type answer here

Correct Answer: 0.42

Deg^°

Rad

MIXED PRACTICE - First determine if the events described are Mutually Exclusive or not. Then find the probability.

Multiple Choice

You roll 1 die 1 time. What is the probability you roll a number less than 4 OR an odd number?

• Not mutually exclusive,

  P(E) = 0.667

• Not mutually exclusive,

  P(E) = 1

• Mutually exclusive,

  P(E) = 0.667

• Mutually Exclusive,

  P(E) = 0.5

Multiple Choice

You roll 1 die 1 time. What is the probability you roll a number greater than 4 OR a 3?

• Not mutually exclusive,

  P(E) = 0.5

• Not mutually exclusive,

  P(E) = 0.333

• Mutually exclusive,

  P(E) = 0.5

• Mutually Exclusive,

  P(E) = 0.333

Multiple Select

You randomly select one card from a standard deck of playing cards. What is the probability you pull a jack or an ace?

• Mutually Exclusive

• Not Mutually Exclusive

• 0.077

• 0.154

Multiple Select

You randomly select one card from a standard deck of playing cards. What is the probability you pull a numbered card or a heart?

• Mutually Exclusive

• Not Mutually Exclusive

• 0.769

• 0.942

DAY 53 - Monday, 4/3

Lesson: 5.3 Mutually Exclusive Events and the Addition Rule for Probability

ASSIGNMENTS:

> join our QUIZIZZ class if you haven't already

> complete and turn in the practice worksheet

​REMINDER - Due to WIN Testing, our class will be relocated tomorrow