Probability and Counting Methods Review

Probability and Counting Methods Review

Multiple Choice

The Bargain Auto Mall has these cars in stock.  If a car is selected at random, find the probability that it is Domestic or an SUV.

• 210/300
• 85/300
• 295/300
• 230/300

Multiple Choice

Mary is a good student. The probability that she studies and passes her test is 3/5. If the probability that she studies is 8/9. What is the probability that she passes given that she studies? 

• 27/40
• 1.48
• .008
• .0593

Multiple Choice

P(Sandals|Pants):

• 4/20
• 6/15
• 1/2
• 2/7

Multiple Choice

The Bargain Auto Mall has these cars in stock.  If a car is selected at random, find the probability that it is Foreign and mid-sized.

• 20/300
• 135/300
• 155/300
• 40/300

Multiple Choice

A recent study of 200 nurses found that of 125 female nurses, 56 had bachelor's degrees:  and of 75 male nurses, 34 had bachelor's degrees.  If a nurse is selected at random, find the probability that the nurse is a female or has a bachelor degree.

• 159/200
• 125/200
• 215/200
• 90/200

Multiple Choice

One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either red or king?

• $\frac{7}{13}$

• $\frac{1}{13}$

• $\frac{2}{13}$

• $\frac{5}{13}$

Multiple Choice

A die is rolled. What is the probability of rolling a 5 or a number greater than 3?

• 2/3

• 1/2

• 5/6

• 1

Multiple Choice

If you roll one die, what is the probability of getting an odd number or a 4?  Are the events inclusive or mutually exclusive?

• Not Mutually Exclusive 
• Mutually exclusive

Multiple Choice

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?

• Add
• Multiply

Multiple Choice

What is the probability that a student plays an instrument?

• .55
• .5
• .45
• .4

Multiple Choice

What is the probability that the person picked will be a boy given they speak german? 

• .7273
• .4
• .16
• .22

Multiple Choice

Find the theoretical probability of landing on orange or red if you spin the spinner.

• 0
• 3/8
• 2/8
• 1/4

Multiple Choice

You roll two die.

What is the probability you will roll a 4, then roll a number less than 3?

• 1/36

• 1/18

• 1/9

• 1/6

Multiple Choice

In a drawer, there are 6 white socks, 4 black socks, and 2 brown socks. You pick out a sock, replace it, then pick out a 2nd sock. What is the probability that you will pick a brown, then black sock?

• 1/11

• 1/18

• 1/36

• 2/33

Multiple Choice

You pick a marble from this bag.

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

• 3/5

• 9/100

• 1/10

• 2/5

Multiple Choice

A farm has 5 brown cows and 10 white cows. A fence is open and two cows escape. What is the probability that it will be a brown cow, then a white cow?

• 1/9

• 2/9

• 5/21

• 10/21

Multiple Choice

The theoretical probability of rolling an even number on a dice.

• 3/6

• 1/2

• 1/6

• 5/6

Multiple Choice

What is the probability of flipping a coin

3 times and getting 3 heads?

• 1/8

• 1/4

• 1/2

• 3/4

Multiple Choice

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

• 3
• 1/10
• 3/10
• 30%

Multiple Choice

Find the probability of drawing 2 cards from a 52-card deck and both cards are face cards (King, Queen, Jack).

• .04977
• .05961
• .03967
• .04203

Multiple Choice

How many different arrangements can be made from the word MATH?

• 10

• 0

• 6

• 24

Multiple Choice

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 12
• 60
• 15

Multiple Choice

Tricia wants to place her 10 DVDs on a shelf. How many arrangements are there for her DVDs?

• 100
• 3628800
• 1
• 10

Multiple Choice

A package contains 12 resistors, 3 of which are defective. If 4 are selected randomly, find P(0 defective resistors)

• .279
• .219
• .287
• .255

Multiple Choice

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(2 parents and 2 teachers)

• .17
• .16
• .15
• .14

Multiple Choice

A parent-teacher committee consisting of 4 people is to be formed from 20 parents and 5 teachers. 
Find P(all teachers)

• .000395
• .000673
• .000412
• .000984