#1
What is the probability of rolling a prime number with a fair six-sided die?
#2
In a group of 50 people, what is the probability that at least two people have the same birthday?
#3
If you flip a fair coin three times, what is the probability of getting exactly two heads?
#4
In a survey, 40% of people like apples, 30% like bananas, and 20% like both. What is the probability that a randomly chosen person likes either apples or bananas?
#5
If you draw a card from a standard deck of 52 cards, what is the probability of drawing a heart or a diamond?
#6
In a class of 30 students, 15 are boys and 15 are girls. If you randomly select two students, what is the probability that both are girls?
#7
You roll two fair six-sided dice. What is the probability that the sum of the rolls is 7?
#8
A jar contains 5 red marbles, 3 blue marbles, and 2 green marbles. If you randomly select a marble, what is the probability that it is not blue?
#9
In a group of 10 people, how many different ways can you select a president, vice-president, and treasurer?
#10
You have a bag with 7 red balls, 5 blue balls, and 4 green balls. If you randomly draw two balls without replacement, what is the probability that both balls are blue?
#11
In a group of 15 people, how many different ways can you select a committee of 3 people?
#12
You have a bag with 8 red marbles, 6 blue marbles, and 4 green marbles. If you randomly draw three marbles without replacement, what is the probability that at least one of them is blue?
#13