Fundamental Counting Principle
Permutations vs Combinations
Experimental vs Theoretical Probability
Independent, Dependent, and Mutually Exclusive Events
Probability of Multiple Events
Conditional Probability
100
A typical South Dakota license plate contains four single digits with two letters. How many different combinations of license plates are possible?
6,760,000
100
What is the main difference between a permutation and a combination?
With a permutation, the order of the outcome matters.
With a combination, the order of the outcome does not matter.
100
A pro golfer hit 45 of 72 greens in regulation during his last tournament. What is the experimental probability he will hit the first green in the next tournament in regulation?
62.5%
100
Determine whether the scenario involves independent, dependent, or mutually exclusive events.
In your sock drawer you have pairs of white and black socks. On Monday morning, you select a pair of socks at random and at night you throw them in your hamper. Tuesday morning, you select another pair of socks.
Dependent
100
Find P(Q and R).
P(Q)=0.4, P(R)=0.7
P(Q and R)=0.28
100
Use the chart to find the following probability.
P(plays football)
49.1%
200
A spinner can land on either red, blue, or green. You spin twice. Find the number of possible outcomes.
9
200
State if each scenario involves a permutation or a combination. The find the number of possibilities.
There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?
Combination
5,995
200
There are 1,532 students at a high school, of which, 472 are freshmen. What is the theoretical probability that a student chosen at random would NOT be a freshmen?
69.2%
200
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, it lands in region three and six.
Mutually Exclusive
200
Find P(Q or R).
P(Q)=0.4, P(R)=0.5
P(Q or R)=0.9
200
Use the chart to find the following probability.
P(boy doesn't play
football)
30%
300
Six books need to be placed on a shelf. You randomly arrange the books on the shelf from left to right. Find the number of possible arrangements.
720
300
State if each scenario involves a permutation or a combination. The find the number of possibilities.
A group of 45 people are going to run a race. The top three runners earn gold, silver, and bronze medals.
Permutation
85,140
300
A bag of marbles contains 8 red marbles, 10 blue marbles, and 6 green marbles.
What is the theoretical probability of selecting a green marble at random from the bag?
25%
300
Determine whether the scenario involves independent, dependent, or mutually exclusive events.
You flip a coin and then roll a fair six-sides die.
Independent
300
A fair number cube is tossed. Find the probability of rolling a number less than 3 or greater than 4.
66.7%
300
Use the chart to find the following probability.
P(girl, given plays football)
22.2%
400
Eight rooms in a house need to be painted. Each room can be painted white or yellow. Find the number of possible combinations.
256
400
State if each scenario involves a permutation or a combination. The find the number of possibilities.
A team of 17 softball players needs to choose three players to refill the water cooler.
Combination
680
400
A bag of marbles contains 8 red marbles, 10 blue marbles, and 6 green marbles.
What is the theoretical probability of selecting a blue or a green marble at random from the bag?
66.7%
400
You randomly select an integer from 1 to 100. The integer is less than 10 and a multiple of 15.
Mutually Exclusive
400
What is the probability of selecting a spade and then a diamond from a standard deck of 52 cards?
6.4%
400
Use the chart to find the following probability.
P(plays football, given a boy)
56%