What to Expect
Lucky Chances
Multiple Choices
All Mixed Up
100
If you flip a coin and then roll one die if heads comes up, what is the probability of getting a 1?
What is 1/12
100
Using the number 1 through 12, what is the probability that when randomly picking a number, it will be prime?
What is 5/12
100
Assume you are picking a card at random from a full deck. What is the probability that the card is a Heart OR an 8?
What is 16/52 = 4/13
100
Are the events picking a heart out of a standard deck and picking a face card dependent or independent?
What is Independent?
200
What is your expected value if you play a game that costs $1? You draw a card from a deck that includes 2 jokers. If you draw a joker you win $6. If you draw a face card, you win $3. If you draw any other card you do not win anything.
What is $0.11
200
What is the probability that if we were to pick a password at random, it would be correct if we knew that the password consisted of 5 digits?
What is 1/100,000
200
A bag contains 3 white marbles, 2 red and 7 blue. A marble is picked at random and then replaced. Then a second marble is picked. What is the probability that the 1st is white AND the 2nd is not white?
What is 3/16
200
Determine the number of outcomes of getting at least 3 heads when flipping a coin 10 times.
What is .9453125
300
A die is rolled. If the number showing on the die is 5 or 6, player A wins $2 from player B. Otherwise B wins $1 from A. Which player would you prefer to be?
What is it doesn't matter.
300
If we have 12 mathematicians and 4 physicists, what is the probability that we will pick a group of 3 people where 2 are mathematicians and 1 is a physicist?
What is .47
300
What is the probability that at least 2 heads appear in 3 tosses of a coin?
What is 1/2
300
Jar A contains 2 red balls and 3 white balls. Jar B contains 4 red balls and 1 white ball. A coin is tossed. If it shows heads, a ball is chosen from jar A, otherwise one is chosen from jar B. If a red ball is chosen, what is the probability it came from jar A?
What is 1/3
400
If you are able to eliminate 2 of the 5 multiple choice answers on each question of the SAT (on the SAT, you receive 1 point for the correct answer and lose ΒΌ point for an incorrect answer) what is your expected gain or loss on each question?
What is 1/6
400
The integers 1 to 5 are written on slips of paper and put into a hat. One slip is drawn (and not replaced) alternately by each of two people. What is the probability the first person to pick will be first to choose an odd number?
What is 7/10
400
A die is rolled 3 times. What is the probability of getting at least one 4?
What is 1 - 125/216 = 91/216
400
The hiking club has 7 girls and 5 boys. What is the probability that you will form a committee of 4 club members that does NOT have 3 girls and 1 boy?
What is 1 - .35353535... = .64646464....
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