Basic Probability
What is the probability of rolling a dice and getting a multiple of 3?
2/6 = 1/3
Suppose you are asked to list, in order or preference, the three best movies you have seen this year. If you saw 10 movies during the year, in how many ways can the three best be chosen and ranked?
10P3= 720
A men’s department store sells 3 different suit jackets, 6 different shirts, 8 different ties, and 4 different pairs of pants. How many different suits consisting of a jacket, shirt, tie, and pants are possible?
3*6*8*4=576
A bag contains several marbles. 8 are purple, 3 are yellow, and 4 are red colored marbles. Find each probability:
P(red or purple)
4/15 + 8/15 = 12/15
The password for your account must contain 5 letters. How many 5 letter passwords can be made, if no letters can repeat?
7,893,600
Which of the following is NOT true for a standard deck of cards?
a. 13 clubs, b. 4 hearts, c. 52 cards in deck,
d. 4 black queens, e. 12 Face cards, f. One Red Ace
B, D, F
In the Long Beach Air Race six planes are entered and there are no ties, in how many ways can the first three finishers come in?
6P3= 120
How many different license plates can you make if there are 3 letters and 3 numbers used and you are allowed to repeat?
263 * 103 = 17,576,000
What is the probability that you choose one card from a standard deck of cards that is: Black or Even Card
26/52 + 20/52 - 10/52 = 36/52
You are trying to find the perfect outfit for the dance. You have 4 shirts, 5 pairs of pants, and 6 pairs of shoes to chose from. How many different options can you chose to wear?
120
If you roll a 12-sided game cube, find P(multiple of 2).
6/12 = 1/2
In a class of 25 students, the teacher decided to randomly pick 4 students and give each of them a bonus point on their next test. How many different ways could the teacher give out these bonus points?
25C4= 12650
At Subway, you have a choice of 3 different types of bread, 9 different types of meat, 7 different vegetables, and 5 different kinds of cheese. If you choose one of each, how many possible sandwiches can you make?
3*9*7*5=945
If a bag contains 3 red marbles, 2 blue marbles, 7 yellow marbles and 8 green marbles, what is the probability that I select the following marbles:
Yellow, green (without replacement)?
7/20 * 8/19 = 14/95
A spinner has an equal chance of landing on each of seven numbered regions. Find the probability that after spinning, it lands in region two or three.
2/7
What is the probability that you choose one card from a standard deck of cards that is a number card greater than 6?
16/52 = 4/13
If there are 17 sprinters and the top 9 finish on the podium, how many different combinations of sprinters can finish on the podium?
17C9 = 24310
The Whiteland Warriors do not like to wear the same uniform twice. They have 3 different helmets, 5 jerseys, and 4 sets of pants. If there are 10 games in a season, how many seasons can they go without wearing the same uniform twice?
3*4*5= 60/10 = 6 Seasons
If a bag contains 3 red marbles, 2 blue marbles, 7 yellow marbles and 8 green marbles, what is the probability that I select the following marbles:
Green, blue, green (with replacement)?
8/20 * 2/20 * 8/20 = 2/125
A cooler contains 10 sports drinks: 4 lemon-lime and 6 orange. Two of the lemon-lime and two of the orange drinks are cold. You randomly grab a bottle. What is the probability that it is orange flavored or cold?
8/10 = 4/5
You randomly select one of these characters: A 9 1 N X W E 2. What is the probability the character you select is a number?
3/8
There are 110 people at a meeting. They each shake hands with everyone else. How many handshakes were there?
110C2 = 5995
A baseball manager is determining the batting order for the team. The team has 9 players, but the manager definitely wants the pitcher to bat last. How many batting orders are possible?
8*7*6*5*4*3*2*1*1 = 40,320
Tell if the following situation is Mutually Exclusive or Overlapping and then find the P(A or B).
Rolling an even number or a 4
Overlapping; 3/6 + 1/6 - 1/6 = 3/6 = 1/2
You choose cards from a standard deck (52). What is the probability you get a heat then a diamond?
a) with replacement?
b) without replacement?
a) 13/52 * 13/52= 1/16
b) 13/52 * 13/51= 13/204