Probability of independent events
Find the probability of two independent events both happening, such as a coin flip and a die roll. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
You flip a coin and roll a fair 4-sided die. What is the probability of getting heads AND rolling a 1?
Answer: 1/8
See one solved, step by step
You flip a coin and roll a fair 10-sided die. What is the probability of getting heads AND rolling a 10?
📘 Worked solution
1P(heads) = 12, P(roll 10) = 110Each event has equally likely outcomes: 2 coin faces, 10 die faces.
212 · 110 = 120The events don't affect each other, so multiply the probabilities.
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