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When rolling a single die, what is the probability of rolling a 2 or 6? Give ur answer as a percent , round to the nearest whole number if necessary.

Sagot :

Explanation

We are asked to get the probability of rolling either a 2 or 6 in a single dice

To do so, we will make use of the probability definition:

Probability simply means the ratio of possible outcomes to the total number of outcomes

In our case

we have a dice, so the total outcome will be {1,2,3,4,5,6}

to roll a 2, the possible outcome is {2}

to roll a 6, the possible outcome is {6}

Thus, the probability of rolling a 2 will be

[tex]\frac{1}{6}[/tex]

The probability of rolling a 6 will be

[tex]\frac{1}{6}[/tex]

Therefore, the probability of rolling a 2 or 6

[tex]\begin{gathered} P=\frac{1}{6}+\frac{1}{6} \\ \\ P=\frac{1+1}{6}=\frac{2}{6}=\frac{1}{3} \end{gathered}[/tex]

In per cent, we will have

[tex]\frac{1}{3}\times100=33.33\text{ \%}[/tex]

To the nearest whole number, we will have 33%