How many outcomes are in the sample space of rolling a die once?
6
100
7 people are randomly lining up for a picture. What is the probability that the tallest person will be in the center?
1/7
100
If a spinner has 6 equally spaced sections, what is the probability of landing in one of the sections?
1/6
100
If two dice are rolled, what is the probability of rolling an even number on the first die and an odd number on the second die?
1/4
100
If only one die is rolled, what is the probability of rolling a 3 or a number higher than 4?
3/6 = 1/2
(you can roll a 3, 5, or 6)
200
How many outcomes are in the sample space of rolling a die 3 times?
6 x 6 x 6 = 216
200
7 people are lining up for a picture. What is the probability that the shortest person will be first in line and the tallest person will be last in line?
1/42
200
________________________________________
A 4 B 8 C 12 D
If a point is randomly placed on AD, what is the probability that it lands on BC?
8/24 = 1/3
200
In a standard deck of cards, two cards are drawn without replacement. What is the probability of drawing an Ace and then a face card (K, Q, or J)?
4/52 x 12/51 = 4/221 or about 1.8%
200
What is the probability of drawing a King or a Heart from a standard deck of cards?
4 + 13 -1 = 16 so 16/52 = 4/13
300
Using the Fundamental Counting Principle, how many outcomes are then when a coin is tossed and then a die is rolled once?
2 X 6 = 12
300
There are 5 different pieces of fruit in a bowl. If you pick out 3 pieces randomly what is the probability you will get the apple, orange, and banana?
(3 x 2 x 1)/(5 x 4 x 3) = 1/10
300
On a spinner where red is 40 degrees, blue is 80 degree, yellow is 100 degrees, and green is the rest, what is the probability of spinning red?
40/360 = 1/9
300
In a standard deck of cards, two cards are drawn without replacement. What is the probability of drawing two clubs?
13/52 x 12/51 = 1/17
300
What is the probability of rolling a pair of dice and not rolling a 1 on either die?
5/6 x 5/6 = 25/36
400
How many possible outcomes are there for sandwiches if each sandwich has one of 3 possible types of bread, one of 4 types of meat, and one of 3 types of cheese?
3 x 4 x 3 = 36
400
If you choose 5 people out of a class of 20, what is the probability that you and your four best friends are chosen?
(5!)/(20 x 19 x 18 x 17 x 16) = 1/15,504
400
In a target the inner circle has a diameter of 3 inches. There are 2 more rings in which each ring is 1 inch wide. What is the probability of landing in the center of the target if a dart is thrown and hits the target somewhere?
(pi x 1.5 squared)/ (pi x 3.5 squared) = 9/49 or about 18%
400
Events that don't influence the probability of the other occuring
Independent
400
If only one die is rolled what is the probability of rolling a prime number or an even number?
primes are 2, 3, 5; evens are 2, 4, 6; so 5/6
500
To find the number of outcomes in a sample space, the Fundamental Counting Principle says to do what mathematical operation?
Multiply!
500
Using the letters A, A, A, H, H, M, U what is the probability that a 7 letter licence plate would spell MUAHAHA?
(1 x 1 x 3 x 2 x 2 x 1 x 1)/ (7!) = 1/420
500
If a circle is inscribed in a square that measures 6 inches on each side, what is the probability of picking a point inside the square but NOT inside the circle?
(36 - pi x 3 squared)/36 = about 21.5%
500
There are 7 green marbles and 3 red marbles in a bag. What is the probability of randomly drawing three red marbles in a row if you replace them each time?
3/10 x 3/10 x 3/10 = 27/1000 or 2.7%
500
When rolling two dice, what is the probability of rolling a sum of 7 or 11?
8/36 or 2/9
(You can roll a 7 six different ways: 1,6; 6,1; 2,5; 5,2; 3, 4; 4, 3; and an 11 two different ways: 5, 6; 6,5 so that is 8 total ways)