Sets and Venn Diagrams
Conversions & Problem Solving
Fundamentals of Probability
Combining Probabilities
Counting & Probabilities
100
Write the set of vowels in the English alphabet.
{a, e, i, o, u}
100
A woman bought a horse for $200 and then sold it for $300. She bought it back for $700 and then sold it again for $500. How much did she gain or lose on these transactions?
Lost $100
100
What is the probability of drawing a jack from a standard 52-card deck of cards?
1/13
100
What is the probability of drawing three queens in a row from a standard deck of cards when the drawn card is returned to the deck each time?
1/2197
100
Evaluate without using the factorial key on a calculator.
(9!)/(5!3!
504
200
Describe the relationship between the set of cats and mammals as one of the following: subset, disjoint, or overlapping.
Subset
200
Convert 21 minutes to seconds.
1260 seconds
200
What is the probability of not rolling a 12 with a fair, 12-sided die?
11/12
200
A bag contains a total of 60 pieces of candy and 16 of them are red pieces. What is the probability of randomly drawing and immediately eating a red piece of candy and then randomly drawing another red piece of candy?
0.068
200
How many different six-digit passwords can be formed from the numbers one to nine if repetition is not allowed?
60,480
300
Describe the relationship between the set of cats and mammals as one of the following: subset, disjoint, or overlapping.
Overlapping
300
Your dinner in Tokyo cost 14,700 Japanese yen. How much was it in U.S. dollars?
$142.50
300
What is the probability of a randomly selected person having a birthday in a month beginning with M? (not a leap year)
62/365
300
What is the probability of drawing either a red five or a black four on one draw from a regular deck of cards?
1/13
300
A city council with five members must elect a three-person executive committee consisting of a mayor, deputy mayor, and treasurer. How many executive committees are possible?
60
400
How many single people at the party are not under 30?
24
400
Convert 50 K to Celsius.
Convert 35°C to Fahrenheit.
-223.15 °C
95°F
400
How many possible outcomes are there if you toss three 6-sided dice?
216 outcomes
400
From a box with equal numbers of purple, red, brown, and white 12-sided dice, what is the probability of rolling a randomly chosen die and getting an even number on a red die?
1/8
400
Using the 17 flavors, how many different triple cones can you create with 3 different flavors if you don't care about the order of the flavors of the cone?
680
500
How many non-comedies received favorable reviews?
8
500
Convert 17 meters per second to miles per hour. Round to two decimal places.
38.03 miles per hour
500
How many possible outcomes are there for the birth order of boys and girls in families with 4 children?
16
500
What is the probability of being born in August or on a weekend?
Assume 12 months in a year, 4 weeks in a month, 7 days in a week, and the weekend is Saturday and Sunday.
0.345
500
Suppose you select 4 different toppings for a pizza from a shop that offers 10 different toppings.
How many different topping combinations are possible?
210