Question

Niles has 6 dogs. He can only walk them 1 at a time. What is the probability of Niles walking Patches and then walking Spike?

(1 point)
Responses

16⋅16 1 sixth times 1 sixth

16⋅151 sixth times 1 fifth

16+15 1 sixth plus 1 fifth

16 1 sixth

Answer 1

To find the probability of Niles walking Patches and then Spike, we need to consider the following:

1. There are 6 dogs in total.
2. The probability of Niles walking Patches first is 1/6, since there are 6 dogs to choose from.
3. After walking Patches, there are now 5 dogs left (including Spike) for the next walk. The probability of walking Spike next is 1/5.

Now, we can calculate the combined probability of both events occurring (walking Patches and then walking Spike):

\[
P(\text{Patches first}) \times P(\text{Spike second}) = \left(\frac{1}{6}\right) \times \left(\frac{1}{5}\right) = \frac{1}{30}
\]

However, this option does not appear among your provided responses.

The closest option by a misunderstanding or rephrasing might seem to revolve around choices involving "1 sixth times 1 fifth" or similar phrases.

The correct answer, based on probabilities, is:
- 1 sixth times 1 fifth, which mathematically represents \( \frac{1}{6} \times \frac{1}{5} \).

Choose that option if it appears (for example, "1 sixth times 1 fifth").