Question

What is the probability of of randomly selecting a blue sock from an unorganized sock drawer if the odds in favor of not picking a blue sock are 3 to 7?

Answer 1

4 to 7

Explanation:

The odds of not picking a blue sock is `3/7`. The sum of the probabilities of all possible outcomes must equal one, in this case:

Let `p` be the probability of choosing a blue sock and let `n` be the probability of not choosing a blue sock, we get from this:

`p + n =1`
`-> p=1-n`

We know that `n=3/7`

`-> p=1-3/7=4/7`