Compound event — coin and die
Compound event — coin and die
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Choose the probability that the coin shows the asked side AND the die shows the asked face.
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heads
∧
6
What is P(heads AND 6)?
What does the generator do?
The generator picks one coin side (heads or tails) and one die face (1–6). The answer is always 1/12 because the coin has 2 equally likely sides and the die has 6 equally likely faces, giving 12 equally likely combined outcomes.
How to solve
Two independent events multiply: P(both) = P(first) · P(second). The coin contributes 1/2, the die contributes 1/6, and the product is 1/12. You can also list the 12 combined outcomes (H1, H2, …, T6) and notice that only one of them matches.
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