Listing every outcome for two things at once
Listing every possible outcome of a dice roll and a coin flip to find a combined probability.
The Question
A fair six-sided dice is rolled and a coin is flipped. How many possible outcomes are there altogether, and what is the probability of getting an even number AND a head?
The Answer
Reveal the Answer
6 dice results × 2 coin results = 12 outcomes. Even numbers are 2, 4 and 6, so the ones that work are 2H, 4H and 6H — three of them. 3/12 = 1/4. List them in a grid; guessing at combined probabilities is how marks are lost.
Now watch the solution
Practice Sheet + Marked Answers
The four-question practice sheet, the solutions in our teaching voice and a self-marking quiz for this question are part of The Question Desk course — every school day of the term, with progress you can see. Enrolled group students get it included.
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