Probability - Mutually Exclusive Events

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?

• $$\frac{12}{20}$$

• $$\frac{8}{20}$$

• $$\frac{8}{12}$$

• $$\frac{5}{12}$$