Dependent events: drawing without replacement
Find the probability of two dependent events, such as drawing two marbles without replacement. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
A bag holds 2 green marbles and 4 yellow marbles. You draw one marble, keep it, then draw another. What is the probability both marbles are green?
Answer: 1/15
See one solved, step by step
A bag holds 3 blue marbles and 5 purple marbles. You draw one marble, keep it, then draw another. What is the probability both marbles are blue?
📘 Worked solution
1P(first blue) = 38There are 3 blue marbles out of 8 at the start.
2P(second blue) = 27One blue marble is gone AND the bag has one fewer marble — the events are dependent.
338 · 27 = 328Multiply the chained probabilities, then reduce.
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