Understanding Compound Probability in Real-Life Scenarios

A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of randomly selecting a red marble and then a blue marble without replacement?

• 2/15

• 1/10

• 1/5

• 1/15

In a class of 30 students, 18 like soccer, and 12 like basketball. If a student is chosen at random, what is the probability that the student likes both soccer and basketball, assuming 6 students like both?

• 1/5

• 1/6

• 1/4

• 1/3

A restaurant offers 4 appetizers and 3 main courses. If a customer randomly selects one appetizer and one main course, what is the probability that they choose a vegetarian appetizer and a seafood main course, given that 2 appetizers are vegetarian and 1 main course is seafood?

• 1/6

• 1/2

• 1/4

• 1/3

A deck of cards has 52 cards. What is the probability of drawing a heart and then a spade in two draws without replacement?

• 1/156

• 1/78

• 1/52

• 1/26

In a survey, 40% of people prefer coffee, and 25% prefer tea. If a person is chosen at random, what is the probability that they prefer either coffee or tea?

• 0.50

• 0.40

• 0.75

• 0.65

A school has 200 students, 120 are girls, and 80 are boys. If a student is selected at random, what is the probability that the student is a girl or a boy who plays soccer, given that 30 girls and 20 boys play soccer?

• 0.7

• 0.5

• 0.9

• 0.4

A box contains 10 light bulbs, 3 of which are defective. If two bulbs are selected at random without replacement, what is the probability that both bulbs are non-defective?

• 3/10

• 7/15

• 1/5

• 2/9

In a game, the probability of winning is 0.3 and the probability of losing is 0.5. What is the probability of either winning or losing in two consecutive games?

• 0.5

• 0.7

• 0.8

• 0.96

A survey shows that 60% of people like chocolate and 40% like vanilla. If a person is chosen at random, what is the probability that they like both flavors, assuming 20% like both?

• 0.40

• 0.10

• 0.20

• 0.60

A school is organizing a field trip. The probability of a student attending is 0.7, and the probability of a parent attending is 0.5. What is the probability that both a student and a parent will attend?

• 0.25

• 0.55

• 0.15

• 0.35