1/6
Explanation:We ared told the odds against an event = 5 to 1
odd against = number of times it won't occur/ number of times it will occur
Odds in favour of the event occurring = inverse of odds against the event
Odds in favour of the event occurring = number of times it will occur/ number of times it won't occur
Odds in favour of the event occuring = 1 to 5
Probability of the event occurring:
[tex]\begin{gathered} Pr\text{ (event occurs) = }\frac{number\text{ of times event will occur}}{\text{Total }} \\ \text{Total = 1 + 5 = 6} \\ number\text{ of times event will occur = 1} \\ Pr\text{ (event occurs) = }\frac{1}{6} \end{gathered}[/tex]Hence, the Probability of the event occurring is 1/6
