Properties of Probability
Binomial
Expected Value
Conditional
Random
100
The probability that the sun will shine on Sunday is 60%. Find the probability that the sun will not shine.
40%
100
The probability that Ms Griswold is out sick any given day is 2%. Find the probability that she will be out sick exactly two days this week.
.00376 or .376%
100
If you roll a die, you will win 2 dollars, if the result is a prime number and lose 1 dollar otherwise. How much money would you expect to win on average?
.5 or $.50
100
The debate club at Weston High has 78 members. The drama club has 63 members, including 18 members who are also in the debate club. If a single student is selected at random from these two clubs, find the probability that the student is in the debate club if it is known that the student is in the drama club.
18/63 = 2/7
100
Which events cannot happen at the same time?
a) Selecting a baseball card showing a Yankee and also 
a pitcher.
b) Scoring above 80 on a test and scoring above 90 on 
the same test.
c)Rolling a prime number that is also an even number.
d)Rolling a multiple of 2 that is also a 17.
d) Rolling a 2 that is also a 17.
200
The probability Jake goes to bed early is 45%. The probability that Jane goes to bed early is 75%. If these two events are independent of each other, find the probability that they both go to bed early.
.3375 or 33.75%
200
Find the probability of getting at least one "tails" when a fair coin is tossed five times.
.96875 or 96.875%
200
New Game: Flip a coin. Heads pays 4 dollars, tails loses 1 dollar. What is the value of the game?
1.5 or $1.50
200
The table below shows the number of juniors and seniors taking math classes at Weston High. 

	   PC2   Calc     Stats
Juniors   8	      22	5
Seniors  12	      25	21
	
If one student is randomly selected from among the
students in the table, find the probability that the 
student is taking Calculus, given that the student is a 
senior.
25/58
200
The probability the sun sets in the west is

a)  0		b) – 1 		c)  1		d) 0.5
c) 1
300
A study recently done by the Institute of Fake Studies showed that there is an 83% chance that a student in this class has done their homework the night before. It also showed that a student who does his or her homework has a 63% chance that they will get above a B on the quiz on that same topic. What is the chance that a student will do their homework in this class AND get below a B on the quiz? (Hint: the answer is NOT 37%)
.3071 or 30.71%
300
A study indicates that 85% of American teenagers have cell phones. You randomly sample 20 teenagers. What is the likelihood that exactly 16 will have a cell phone?
.182 or 18.2%
300
The current Mega Millions Jackpot is 35 million dollars. The odds of winning are 1 in 175,711,536. If you pay 1 dollar to play, find the mathematical expectation for the game.
-.80 or -$.80
300
In test for a disease, 95% of the people who have the disease test positive and 99% of the people who do not have the disease test negative. Suppose 3% of the population has the disease. Find the probability that a randomly selected person who tests positive for the disease actually has the disease.
.746 or 74.6%
300
A bag contains 7 red, 6 green, and 7 white 
marbles, all identical but for color.  The probability of 
selecting a red marble at random is

a) 7/20    b) 3/20 	c)  3/10 	d) 13/20
a) 7/20
400
I have 20 candies in my top right candy drawer. 3 of them are red, 10 of them are blue and 7 of them are green. I will reach into the drawer and pull out two pieces of candy. What is the probability that I will choose two reds?
3/190 or 1.579%
400
If a student randomly guesses at ten multiple-choice questions, find the probability that the student gets exactly five correct. Each question has four possible choices.
.0584 or 5.84%
400
Suppose that A, B, and C are three mutually exclusive events of a random experiment and that P(A), P(B), and P(C) are 0.6, 0.3, and 0.1, respectively. If the payoffs are 10 dollars, 6 dollars, and –20 dollars for A, B, and C, respectively, find the mathematical expectation for the random experiment.
$5.80
400
A small factory has two assembly lines producing
different products. Of the items produced, 70% of them 
are produced on assembly line A. On average, 3% of the 
output of assembly line A is defective and 55% of the 
output from assembly line B is defective. 
Find P(Assembly B / defective).
.887 or 88.7%
400
Suppose while playing tennis, Venus Williams gets her first serve in, about 75% of the time. When she gets her first serve in, she wins the point about 80% of the time. If she misses her first serve, her second serve goes in about 90% of the time. When this happens, she wins the point on her second serve about 35% of the time. Find the probability that Venus wins a point when she is serving.
.67875 or 67.875%
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