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Probability

Total questions: 11

Worksheet time: 6mins

Name
Class
Date
1.

Two events A “It will rain tomorrow in Houston” and B “It will rain tomorrow in Galveston” (a city near Houston)

a)

Not Independent

b)

Independent

2.

Tossing a head on the coin and rolling a 6 on the die

a)

Dependent

b)

Independent

c)

Mutually exclusive

d)

Not mutually exclusive

3.
Clara picks a marble at random, puts it back, and then picks another marble at random.
a)
Dependent
b)
Independent
4.

Suppose events A and B are independent and P (A and B) is 0.2. Which statement could be true?

a)

P(A)=0.4, P(B)=0.3, P (A or B) =0.5

b)

P(A)=0.8, P(B)=0.25

c)

P(A given B)=0.2, P(B)=0.2

d)

P(A)=0.15, P(B)=0.05

5.
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?  Do you add or multiply probabilities?
a)
Add
b)
Multiply
6.
Two events are mutually exclusive if:
a)
they cannot happen at the same time
b)
they can happen at the same time
c)
they always happen 
d)
they never happen 
7.
If you roll one die, what is the probability of getting an odd number or a 4?  Are the events inclusive or mutually exclusive?
a)
Not Mutually Exclusive 
b)
Mutually exclusive
8.

A coin is tossed and a number cube is rolled. Find the probability, P(heads and 7).

a)

1/14

b)

1/2

c)

0

d)

1/7

9.

Identify if the events are independent or dependent, then calculate the probability. Leave as a fraction.

a)

1249\frac{12}{49}

b)

5691\frac{56}{91}

c)

4849\frac{48}{49}

d)

4912\frac{49}{12}

10.

You throw two fair dice, one green and one red, and observe the numbers uppermost. Take A: the sum is 7, and B: the red die comes up even. Are these two events independent? (use test for independence)

a)

  Independent

b)

  Dependent

11.

You throw two fair dice, one green and one red, and observe the numbers uppermost. Decide which of the following pair of events are independent

A: The sum is 5

B: Both dice show the same number

a)

Independent

b)

Dependent