#1
If you roll a fair six-sided die, what is the probability of rolling a prime number?
1 answered
#2
In a group of 10 people, how many ways can you choose a president and a vice president?
1 answered
#3
In a group of 6 students, how many different committees of 3 can be formed?
1 answered
#4
If you roll two fair six-sided dice, what is the probability that the sum of the numbers rolled is 7?
1 answered
#5
In a class of 25 students, how many different pairs of students can be formed for a dance competition?
1 answered
#6
You have 5 different types of sandwiches and want to choose 2 to pack for lunch. In how many ways can you choose your lunch?
1 answered
#7
If you flip a fair coin three times, what is the probability of getting exactly two heads?
1 answered
#8
A bag contains 4 red balls, 3 blue balls, and 5 green balls. If a ball is randomly chosen from the bag, what is the probability of choosing a blue ball?
1 answered
#9
If you draw two cards from a standard deck of 52 cards without replacement, what is the probability that both cards are hearts?
1 answered
#10
A jar contains 5 red balls, 3 blue balls, and 2 green balls. If you randomly draw two balls without replacement, what is the probability of drawing one red ball and one blue ball?
#11
You have 4 different pairs of shoes. In how many ways can you choose 2 shoes to wear if each shoe must be from a different pair?
#12
A box contains 5 red balls, 4 blue balls, and 3 green balls. If you draw one ball at random, what is the probability that it is not green?
#13
In a standard deck of 52 cards, how many ways can you draw two cards of the same suit?
#14
You have 8 different books and want to arrange them on a shelf. In how many ways can you arrange them if two particular books must always be together?
#15
A committee of 5 people is to be chosen from a group of 10 men and 8 women. If the committee must consist of 3 men and 2 women, how many different committees are possible?
#16
You have 8 different colored socks in a drawer. In how many ways can you choose 2 socks to wear if you want to wear one sock of each color?
#17
If you randomly pick a day of the week and a month of the year, what is the probability that the day is Friday and the month is December?
#18
A bag contains 6 red balls, 4 blue balls, and 2 green balls. If you draw three balls at random without replacement, what is the probability of getting at least one blue ball?
#19
A committee of 4 people is to be chosen from a group of 7 men and 5 women. If the committee must consist of 2 men and 2 women, how many different committees are possible?
#20