Counting Outcomes
Simple Probabilities
AND Probabilities
OR & Given Probabilities
Expected Value, At Least & Odds
100
How many different outcomes are there when flipping a fair coin 3 times?
8
100
What is the probability of selecting an Ace (there are 4 Aces in a deck of cards) from a deck of 52 cards?
4/52
100
Mr. Hessler has a four-digit PIN for his debit card. Assuming that no digit can be repeated in his PIN, what is the probability that you guess his PIN correctly?
1/5040 = .0002 = .02%
100
There are 3 blue marbles, 4 red marbles, and 3 green marbles in a bag. What is the probability of drawing a green or blue marble from the bag?
6/10 = 3/5 = .6 = 60%
100
What are the odds for rolling doubles with two dice?
6:30 OR 1:5
200
How many different outcomes are there when rolling three 6-sided dice?
216
200
What is the probability of selecting a red marble from a bag containing 4 blue marbles, 3 green marbles, and 2 red marbles?
2/9
200
A certain mountain town has a 75% (.75) chance of receiving at least 100 inches of snow each year. What is the probability that the town receives at least 100 inches of snow in 3 consecutive years?
.4219 = 42.19% = 27/64
200
What is the probability of rolling an even number or a number that is divisible by 3 when rolling a 6-sided die?
3/6+2/6-1/6= 4/6 = 2/3 = .67 = 67%
200
The odds for a team to win a game are given as 5:2 against (I win $5 on a $2 bet). How much could I win on a $80 bet?
$200 OR $280 (depending if you include initial bet)
300
A school offers the following classes for seniors: 4 math classes, 2 English classes, 3 science classes, 2 social studies classes, 6 fine arts classes, and 7 general elective classes. Students need to select one class from each category. How many different class combinations are possible?
2016
300
What is the probability of rolling even doubles (e.g. 2-2 would be even doubles, 1-1 would be odd doubles) on two rolls of a dice?
3/36
300
In Mr. Hessler's 4th block class, there are 30 students. 4 students have a last name beginning with "S." What is the probability that 2 randomly selected students both have a last name beginning with "S?"
12/870 = .0138 = 1.38%
300
The frequency table lists the number of pets owned by teachers at GCHS. What is the probability of someone owning more than 4 pets (P(x>4))?
5/22 = .2273 = 22.73%
300
A $1 lottery ticket has the following win probabilities: a 1 in 10 chance to win $1, a 1 in 100 chance to win $5, a 1 in 1,000 chance to win $20, a 1 in 10,000 chance to win $100, and a 1 in 1,000,000 chance to win $100,000. What is the expected value of buying a lottery ticket?
-$.72
400
Mr. Hessler designs a game where you spin a 8-section spinner labeled 1-8. Then, you draw a card from a 52-card deck of cards. Next, you roll a standard 6-sided die. Finally, you flip a fair coin. How many possible outcomes are there?
4992
400
The frequency table below lists the number of pets of teachers at GCHS. What is the probability of meeting a teacher with 5 pets?
3/22
400
A social security number is 9 digits long. What is the probability of you guessing someone's social security number correctly? Give your answer as a fraction. (A social security number can have repeating digits.)
1/109 = 1/1,000,000,000
400
The table below shows students' preferences on skateboarding and snowmobiling at GCHS. What is the probability that someone likes skateboarding or does not like snowmobiling?
55/160+125/160-45/160=135/160
400
The graph below lists the relative frequency of goals scored by the Colorado Avalanche over their last 14 games. Based on this data, what is the expected value of the Avalanche scores?
3.79
500
How many different outcomes are possible when selecting 3 times from a 75-ball Bingo cage without replacement?
405,150
500
When flipping 3 coins, what is the probability of getting tails twice and heads once?
3/8
500
I have a bag of Starburst with 10 red and 5 pink Starburst. What is the probability that I select two Starburst from the bag and they are both the same color?
110/210 = 11/21 = .5238 = 52.38%
500
What is the probability that someone likes to skateboard given that they like snowmobiling?
80/105 = .7619 = 76.19%
500
Weld County has voted for the Republican candidate for president 29/37 times. What is the probability that Weld County would vote for the Republican candidate at least once in the next 3 presidential elections?
1-(8/37)^3 = .9899 = 98.99%