Question

If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she will win first prize

Answer 1

Answer:
`(11)/(12)`

Explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

`\therefore \text{Probability that event will occur is P'=}(1)/(1+11)\\\\\Rightarrow P'=(1)/(12)`

Probability of non-occurrence i.e. she wins the first prize is

`\Rightarrow P=1-(1)/(12)\\\\\Rightarrow P=(11)/(12)`