#1
What is the probability of rolling a prime number on a fair six-sided die?
#2
In a survey of 500 people, 300 preferred chocolate ice cream, 150 preferred vanilla, and the rest preferred strawberry. What is the probability that a randomly chosen person prefers strawberry ice cream?
#3
In a deck of 52 cards, what is the probability of drawing a heart or a diamond?
#4
What is the mean of the following dataset: {10, 15, 20, 25, 30, 35, 40}?
#5
If the odds in favor of an event are 3 to 2, what is the probability of the event occurring?
#6
What is the mode of the following dataset: {2, 3, 5, 7, 2, 8, 2, 9, 2, 7, 6}?
#7
If events A and B are independent, what is the probability of both events occurring?
#8
If events A and B are mutually exclusive, what is the probability of either event A or event B occurring?
#9
A factory produces three types of products: A, B, and C. The probability of producing product A is 0.3, product B is 0.5, and product C is 0.2. What is the probability of producing either product A or product B?
#10
If events A and B are independent, what is the probability of event A not occurring?
#11
In a survey, 60% of people prefer tea and 40% prefer coffee. If a person is randomly selected from the survey, what is the probability that the person prefers both tea and coffee?
#12
In a class of 30 students, 18 play football, 15 play basketball, and 10 play both football and basketball. What is the probability that a randomly selected student plays either football or basketball?
#13
In a group of 50 students, 30 are girls and 20 are boys. If 15 students play football and 10 play basketball, how many students play neither football nor basketball?
#14
In a survey, 60% of people like apples, 40% like bananas, and 30% like both apples and bananas. What percentage of people like neither apples nor bananas?
#15