Question

What is the probability of choosing a blue bookFind the odds in favor of his character unlocking the treasure chest

Answer 1

Given:

`The\text{ o}dds\text{ against choosing a blue block are }(5)/(12)`

The formula for odds against is;

`\begin{gathered} Odds\text{ against}=\frac{probability\text{ of failure}}{probability\text{ of success}} \\ Odds\text{ against choosing a blue block}=\frac{probability\text{ of not picking a blue block}}{probability\text{ of picking a blue block}} \\ (5)/(12)=\frac{probability\text{ of not picking a blue block}}{probability\text{ of picking a blue block}} \\ Hence, \\ The\text{ ratio is;} \\ probability\text{ of not picking a blue block}:probability\text{ of picking a blue block}=5:12 \end{gathered}`

Thus,

`\begin{gathered} Total=5+12=17 \\ \\ Hence, \\ The\text{ probability of choosing a blue block}=(12)/(17) \end{gathered}`

Therefore, the probability of picking a blue block is;

`(12)/(17)`