Practice question · Numerical answer
Two fair dice are rolled. How many of the 36 equally likely outcomes give a total of 7?
Hints
- List the ordered pairs whose entries add to 7, treating the dice as distinguishable.
- Start with (1,6) and work up to (6,1).
Show the answer
6
Why
The pairs are (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), six of them, so the probability is 6/36 = 1/6. Seven is the most likely total precisely because it has the most ways to occur; counting outcomes is what makes that visible.
Practise Introduction to Probability
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