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Mutually Exclusive and Independent Events

Total questions: 10

Worksheet time: 7mins

Name
Class
Date
1.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
2.

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

a)

Mutually exclusive

b)

Not mutually exclusive

3.
Pablo chooses a colored marble from a mixed bag and writes down the color. Pablo leaves it out and then draws another.
a)
Independent
b)
Dependent
4.

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

a)

Mutually exclusive

b)

Not mutually exclusive

5.

For mutually exclusive event A and B,

a)

P(A \cup   B)=0

b)

P(A \cap  B)=0

6.

For independent events A and B,

a)

P(A \cap  B)=0

b)

P(A \cup  B)=0

c)

P(A \cap  B)=P(A)+P(B)

d)

P(A \cap  B)=P(A)XP(B)

7.
Which event is not a dependent event?
a)
Picking 2 students to each be line leader and door holder from a group of 20 students
b)
Picking 2 marbles from a bag without replacing the first marble
c)
Picking 2 crayons from a box at the same time (simultaneously) 
d)
Picking an earring, replacing it, then picking a 2nd earring
8.
The outcome of one event does not influence the outcome of the other event.
a)
independent event
b)

mutually exclusive

c)

Dependent event

d)

not mutually exclusive

9.

Which of the following pairs of events are mutually exclusive?

a)

Cards: Ace and Spades

b)

Two Dice: Odd and Even

c)

Sit down and stand up

d)

Sit down and scratch your nose

10.

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

(a)