1. Tardigrade
  2. Question
  3. Mathematics
  4. A key to room number C 3 is dropped into a jar with five other keys, and the jar is throughly mixed. If keys are randomly drawn from the jar without replacement until the key to room C 3 is chosen, then what are the odds in favour that the key to room C 3 will be obtained on the 2 text nd try?

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Q. A key to room number $C _3$ is dropped into a jar with five other keys, and the jar is throughly mixed. If keys are randomly drawn from the jar without replacement until the key to room $C _3$ is chosen, then what are the odds in favour that the key to room $C _3$ will be obtained on the $2^{\text {nd }}$ try?

Probability - Part 2

Solution:

We want to fail the first try, so we have $\frac{5}{6} \cdot \frac{1}{5}=\frac{1}{6}$ for the probability. The odds are therefore $1:5$