Problem 11 of 25sta-011
A fair coin is flipped and a fair number cube with faces numbered 1 through 6 is rolled. What is the probability of getting heads on the coin and a number greater than 4 on the cube?
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Solution walkthrough1:33
- List every result in a grid: coin sides times cube faces gives equally likely outcomes.
- Heads is of the sides of the coin, so the probability of heads is .
- Greater than means or : that is of the faces, so .
- Independent events multiply: . The grid agrees: of cells.
- Traps: ignores the coin, counts only one face, and adds instead of multiplying.