Compound Probability Challenge

Compound Probability Challenge

Read each question carefully and determine the probability of the compound event. Show your work where applicable. Express probabilities as fractions in simplest form.

1. What is the probability of flipping a coin and getting heads, THEN rolling a standard six-sided die and getting a 4?

2. A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. If you pick a marble, put it back, and then pick another marble, what is the probability of picking a red marble then a blue marble?

3. When two events do not affect each other, they are called   events.

4. If the outcome of the first event changes the probability of the second event, these are called   events.

5. A spinner has 4 equal sections: red, blue, green, and yellow. You spin the spinner twice. What is the probability of landing on red then green?

6. There are 5 girls and 4 boys in a class. The teacher randomly selects two students to lead a presentation. What is the probability that both students selected are girls?

7. The probability of rolling a 3 on a die and picking a king from a deck of cards are independent events.

8. If you draw a card from a deck and don't replace it, then draw another card, these are independent events.