Sure! Here is a differentiated math worksheet about the probability of compound events. The worksheet includes three levels of difficulty: easy, medium, and hard. Each level has five questions, and the answers are provided at the end of the worksheet.

Easy Level:

1. A bag contains 4 red marbles and 6 blue marbles. What is the probability of selecting a red marble and then selecting a blue marble, without replacement?
2. A standard deck of cards contains 52 cards. What is the probability of drawing a heart and then drawing a spade, without replacement?
3. A spinner has 8 equal sections, numbered 1 to 8. What is the probability of spinning a 3 and then spinning an even number, without replacement?
4. A jar contains 10 green candies and 5 yellow candies. What is the probability of selecting a green candy and then selecting a yellow candy, without replacement?
5. A bag contains 3 red balls, 4 blue balls, and 5 green balls. What is the probability of selecting a blue ball and then selecting a green ball, without replacement?

Medium Level:

1. A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of selecting a red marble and then selecting a blue marble, without replacement?
2. A standard deck of cards contains 52 cards. What is the probability of drawing a face card (jack, queen, or king) and then drawing a red card, without replacement?
3. A spinner has 6 equal sections, numbered 1 to 6. What is the probability of spinning an odd number and then spinning a multiple of 3, without replacement?
4. A jar contains 8 green candies, 4 yellow candies, and 3 orange candies. What is the probability of selecting a green candy and then selecting a yellow candy, without replacement?
5. A bag contains 4 red balls, 5 blue balls, and 6 green balls. What is the probability of selecting a blue ball and then selecting a green ball, without replacement?

Hard Level:

1. A bag contains 6 red marbles, 4 blue marbles, and 2 green marbles. What is the probability of selecting a red marble and then selecting a blue marble, without replacement?
2. A standard deck of cards contains 52 cards. What is the probability of drawing a face card (jack, queen, or king) and then drawing a black card, without replacement?
3. A spinner has 10 equal sections, numbered 1 to 10. What is the probability of spinning a prime number and then spinning a multiple of 5, without replacement?
4. A jar contains 12 green candies, 6 yellow candies, and 4 orange candies. What is the probability of selecting a green candy and then selecting a yellow candy, without replacement?
5. A bag contains 5 red balls, 6 blue balls, and 7 green balls. What is the probability of selecting a blue ball and then selecting a green ball, without replacement?

Answers: Easy Level: 1. 0.4 2. 0.0588 3. 0.125 4. 0.3333 5. 0.1905

Medium Level: 1. 0.2381 2. 0.0588 3. 0.1111 4. 0.3478 5. 0.2381

Hard Level: 1. 0.2667 2. 0.0588 3. 0.05 4. 0.3529 5. 0.3