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Probability Rules

Total questions: 10

Worksheet time: 28mins

Name
Class
Date
1.

Two events A and B are (a)   if they have no outcomes in common and so can never occur together.

2.

You flip a nickel three times.

Find the probability that all flips will land on tails.

P(tails, tails, tails)=

a)

1/2

b)

1/4

c)

1/6

d)

1/8

3.
a)
Yes, because all of the probabilities are between 0 and 1 inclusive and the sum of all the probabilities is 1.
b)
No, all probabilities are not be between 0 and 1 inclusive
c)
No, the sum of all the probabilities is not 1.
d)
Yes, because the distribution is symmetric
4.
A jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not replaced. 
What is P(purple then black)?
a)
1/18
b)
2/5
c)
3/7
d)
4/9
5.
If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?
a)
2/52
b)
4/52
c)
16/52
d)
26/52
6.

On December 17, 2020, Gallup polling found that 31% of Americans identified as Democrats, 25% identified as Republican, and 41% as Independent. The rest of those polled did not identify with a political party.

What percent did not identify with a political party?

a)

a) 3%

b)

b) 4%

c)

c) 7%

d)

d) 6%

7.

You pick a marble from this bag.

What is the probability you will choose either a black or white marble?

P(black or white)=

a)

3/5

b)

9/100

c)

1/10

d)

2/5

8.
Dice have six faces, showing 1 to 6 pips (spots). If a die is balanced, all six faces are equally likely. What must be the probability of each face?
a)
1/10, or 0.10.
b)
1/6, or 0.167.
c)
2/10, or 0.20.
d)
could be any number between 0 and 1.
9.

The outcomes for rolling two number cubes numbered 1 through 6 are shown above. What is the probability the sum of the number cubes will be 7 or 4?

a)

112\frac{1}{12}

b)

16\frac{1}{6}

c)

14\frac{1}{4}

d)

1136\frac{11}{36}

10.

Which Rule Should you use for the following scenario:

Event A has a 9/10 chance of occurring. Event B may also occur. TO find the probability of Event A and Event B happening, what rule should I use?

a)

Multiplication Rule

b)

Complement Rule

c)

Addition Rule for ME events

d)

Addition Rule for Non-ME events