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Two dice are thrown simultaneously. What is the probability that 5 will come up on at least one?
Given:
Two dice are thrown simultaneously.
To do:
We have to find the probability that 5 will come up at least once.
Solution:
When two dice are thrown, the total possible outcomes are $6\times6=36$.
This implies,
The total number of possible outcomes $n=36$
Outcomes, where 5 will come up at least once, are $(1, 5), (2, 5), (3, 5), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 5)$
Number of outcomes, where 5 will come up at least once $=11$
Total number of favourable outcomes $=11$
Probability of an event $=\frac{Number\ of\ favourable\ outcomes}{Total\ number\ of\ possible\ outcomes}$
Therefore,
Probability that 5 will come up at least once $=\frac{11}{36}$
The probability that 5 will come up at least once is $\frac{11}{36}$.
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