Probability of two independent events with replacement
The first draw is put back, so the two draws do not affect each other. Multiply the two probabilities.
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A bag has 11 red and 1 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
Answer: 121/144
A bag has 11 red and 5 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
Answer: 121/256
A bag has 3 red and 6 blue marbles. A marble is drawn, put back, and a second marble is drawn. What is the probability that both are red? Write a fraction in lowest terms.
Answer: 1/9
Tip: The first draw is put back, so the two draws do not affect each other. Multiply the two probabilities.
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