Probabilities of Mutually Exclusive Events

When rolling a single die, the events of rolling an even number and rolling a ‘5’ are ...

• Mutually Exclusive

• Not Mutually Exclusive

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

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

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

Mathematical Equivalence

ON

Two events are mutually exclusive if they have ​ (a)   outcome(s) in common. This means that 𝑃(𝐴 ∩ 𝐵) =

​ (b)   .

• No

• 0

• One

• Many

• 1

• Between 0 & 1

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.

• True

• False

A math teacher is setting a test for the class next week. The Probability that the test will be on Monday is 10%, Tuesday is 20%, Wednesday is 45% and Thursday is 15% What is the probability that the test will be on Friday?

• 15%

• 5%

• 20%

• 10%

What are mutually exclusive events?

• Events that can happen at the same time

• Events that cannot happen at the same time

• Events that add up to 100%

Rolling a prime number and rolling an even number on a normal six-sided die are

• Mutually exclusive

• Not mutually exclusive