Conditional Probability Challenges: Real-World Scenarios

A bag contains 3 red, 2 blue, and 5 green marbles. If you randomly select one marble and it is green, what is the probability that the next marble you select will also be green?

• 4/9

• 5/12

• 2/7

• 1/3

In a school, 60% of students play soccer and 40% play basketball. If a student is chosen at random and is known to play soccer, what is the probability that they also play basketball?

• 0.2

• 0.6

• 0.5

• 0.4

A factory produces 80% of its products without defects. If a product is found to be defective, what is the probability that it was produced on a Monday, given that 30% of the products are made on Monday?

• 0.5

• 0.3

• 0.7

• 0.1

In a deck of cards, what is the probability of drawing a heart given that the card drawn is a face card?

• 1/3

• 1/2

• 1/4

• 2/5

A restaurant has a 70% chance of serving chicken and a 30% chance of serving fish. If a customer orders a meal and it is chicken, what is the probability that the next meal ordered will also be chicken?

• 100%

• 80%

• 70%

• 50%

In a survey, 75% of people who own a car also own a house. If a person is known to own a house, what is the probability that they own a car?

• 25% of car owners do not own a house.

• Cannot determine without additional information.

• All house owners own a car.

• 50% of house owners own a car.

A student has a 90% chance of passing math and a 70% chance of passing science. If the student passes math, what is the probability that they will pass science?

• 0.5

• 0.9

• 0.3

• 0.7

In a game, the probability of winning is 0.4. If a player wins the first game, what is the probability that they will win the second game, assuming the games are independent?

• 0.4

• 0.2

• 0.8

• 0.6

A company finds that 20% of its employees are late to work. If an employee is late, what is the probability that they are a part-time employee, given that 50% of the employees are part-time?

• 0.5

• 0.3

• 0.8

• 0.2

In a class, 80% of students study for the exam. If a student is selected and is known to have studied, what is the probability that they will pass the exam?

• The probability is 80%.

• Insufficient information to determine the probability.

• The probability is 50%.

• The probability is 100%.