Mutually Exclusive and Independent Events

If you are picking a card randomly from a deck of cards, the events of picking a spade and picking a diamond are mutually exclusive.

• True

• False

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

• True

• False

If A and B are mutually exclusive then...

• They are always independent

• They may be dependent or independent

• They are always dependent

The outcome of one event does not influence the outcome of the other event.

• independent event

• mutually exclusive

• Dependent event

• not mutually exclusive

The probabilities of all mutually exclusive outcomes add up to...

(a)  

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

• Mutually exclusive

• Not mutually exclusive

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

• Mutually exclusive

• Not mutually exclusive

Which of the following pairs of events are mutually exclusive?

• Cards: Ace and Spades

• Two Dice: Odd and Even

• Sit down and stand up

• Sit down and scratch your nose

Given events such that P(A) = 0.7, P(B) = 0.6, and P(A or B) = 0.42. Are events A and B mutually exclusive or not?

• Mutually Exclusive

• Not Mutually Exclusive

Drawing a red or an ace from a deck of cards

• Mutually exclusive

• Not mutually exclusive