Probability - Mutually Exclusive Events

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Mathematics

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12th Grade

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Shannon Berkner

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8 Slides • 14 Questions

Mutually Exclusive Events

by Mrs. Berkner

Review: Unions and Intersections

In order to determine probability, think about:

Are the two sets intersecting or disjoint?

How many elements are in each set?

How many elements are in the universal set?

Multiple Choice

Which of the following represents the shaded region?

A union B

A intersect B

A ⊂ B

B ⊂ A

Multiple Choice

Which of the following statements are true for the Venn diagram shown?

A ∩ B = ⊘

A ⋃ B = ⊘

A ⋃ B = A

A ⋂ B = A

Multiple Choice

From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."

{casey, drew}

{blair, erin, francis, glen, jade, ira}

{blair, erin, francis, ira}

{jade, glen, blair, erin, francis, ira}

Mutually Exclusive Events

two events that cannot happen at the same time
these are always DISJOINT sets
the intersection is always an empty set.

Multiple Choice

Event A is rolling a even number

Event B is rolling an odd number

What is the event $A\cap B$ ?

$\Theta$

{2,4,6}

{1,3,5}

(1,2,3,4,5,6}

Multiple Choice

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are ...

Mutually Exclusive

Not Mutually Exclusive

Multiple Choice

If a spinner is numbered 1 – 8, when you spin it the events of spinning an even number and a number less than 4 are ...

Mutually Exclusive

Not Mutually Exclusive

For Mutually Exclusive Events:

Multiple Choice

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

2/52

4/52

16/52

26/52

Multiple Choice

If you roll one die, what is the probability of getting an odd number or a 4?

2/3

1/3

1/2

1/6

Non-Mutually Exclusive Events

Multiple Choice

If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are ...

Mutually Exclusive

Overlapping

Multiple Choice

Which of the following shows how to determine P(shaded number or number less than five)?

4/8 + 4/8 - 2/8

4/9 + 2/8 - 4/8

4/8 + 6/8 + 2/8

2/8 + 4/8 - 4/8

Multiple Choice

In rolling a fair die, what is the probability of getting an even or divisible by 3?

$\frac{2}{3}$

$\frac{1}{3}$

Multiple Choice

A card is chosen at random from a pack of 52 playing cards.

What is the probability of a King or a Heart?

$\frac{4}{13}$

$\frac{2}{13}$

The COMPLEMENT of an EVENT

Multiple Choice

The chance of rolling a 2 is 1/6. What is the chance of not rolling a 2?

2/6

1/6

5/6

Not possible

Multiple Choice

There are 12 red roses, 5 yellow roses and 3 white roses in a vase. Felix takes a rose, at random, from the vase.

What is the probability of him not choosing a red rose?

$\frac{12}{20}$

$\frac{8}{20}$

$\frac{8}{12}$

$\frac{5}{12}$

Mutually Exclusive Events

by Mrs. Berkner

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