Question

Find the probability of getting a 1, 5, or 6 when you roll a standard six-sided die.Select the correct answer below:1/61/31/22/35/6

Answer 1

Step 1

Write out the expression for the probability of an event occurring

`Pr(\text{event occurring) = }\frac{number\text{ of required outcomes}}{\text{Total number of outcomes}}`

Where,

Total of required outcomes= 6

Step 2

Find the probability of getting a 1

`Pr(1)=\text{ }(1)/(6)`

Step 3

Find the probability of getting a 5

`Pr(5)\text{ =}(1)/(6)`

Step 4

Find the probability of getting a 6

`Pr(6)=(1)/(6)`

Step 4

Find the probability of getting a 1,5 or 6

`Pr(1,5\text{ or 6)=Pr}(1)+Pr(5)+Pr(6)_{}`
`\begin{gathered} Pr(1,5\text{ or 6) = }(1)/(6)+(1)/(6)+(1)/(6) \\ Pr(1,5\text{ or 6) = }(1)/(2) \end{gathered}`

Hence, the probability of getting a 1, 5 or 6 when you roll a standard six-sided die = 1/2