Here is a differentiated math worksheet about the probability of compound events:
Level 1: 1. A bag contains 5 red marbles and 3 blue marbles. What is the probability of selecting a red marble and then a blue marble, without replacement? 2. A standard deck of cards contains 52 cards. What is the probability of drawing a heart and then a diamond, without replacement? 3. A spinner has 4 equal sections: red, blue, green, and yellow. What is the probability of spinning red and then green, without replacement?
Level 2: 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 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 a heart, without replacement? 3. A spinner has 5 equal sections: red, blue, green, yellow, and orange. What is the probability of spinning red and then green, without replacement?
Level 3: 1. A bag contains 8 red marbles, 6 blue marbles, and 4 green marbles. What is the probability of selecting a red marble and then a blue marble, without replacement? 2. A standard deck of cards contains 52 cards. What is the probability of drawing a black card (clubs or spades) and then a heart, without replacement? 3. A spinner has 6 equal sections: red, blue, green, yellow, orange, and purple. What is the probability of spinning red and then green, without replacement?
Level 4: 1. A bag contains 10 red marbles, 8 blue marbles, and 6 green marbles. What is the probability of selecting a red marble and then 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 a black card (clubs or spades), without replacement? 3. A spinner has 7 equal sections: red, blue, green, yellow, orange, purple, and pink. What is the probability of spinning red and then green, without replacement?
Feel free to adjust the numbers or add more questions based on the level of difficulty you desire.
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