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A pair of six-sided dice is rolled one time. What is the probability that the number 5 will appear?

User Binnev
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Given that there is a pair of six-sided dice, let be the probability to obtain a 5 in the first dice:


P_1

And let be the probability to obtain a 5 in the second dice:


P_2

Then, the probability to obtain a 5 in one of the two dices will be equal to:


P=P_1\cup P_2

Therefore:


P=P_1+P_2

The dice has 6 sides, hence the probability that a 5 appears for each dice is:


(1)/(6)

Therefore:


P=(1)/(6)+(1)/(6)

Adding the fractions, you get:


\begin{gathered} P=(2)/(6) \\ \\ P=(1)/(3) \end{gathered}

Hence, the answer is:


P=(1)/(3)

User Antishok
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