Question

A drawer contains black socks and white socks. 20% of the

socks are black socks. A number generator simulates randomly
selecting 10 socks from the drawer. The number generator is
used 10 times and the number of black socks in each trial is
shown in the dot plot.
Which description is correct about the number generator being
fair or not?

Answer 1

The number generator appears to be fair.

Here's why:

Cluster around expected value: There is a clear cluster of dots around the expected value of 2 black socks, indicating that this outcome occurred frequently.

No dominant outliers: There are no trials with 50% or more black socks selected, which would be a strong indicator of bias.

Distribution range: While some trials have 0 or 3 black socks, these are less frequent than those with 1 or 2, representing random variation within expected limits.

Overall, the distribution of results in the dot plot suggests that the number generator randomly selects socks without favoring black or white, making it fair within the context of this simulation.

The probbale question is attached in the image.

Answer 2

Three.

If you pick two socks, you could have picked one white and one black.

Once you pick three socks, at least two must be the same color, and so you have your matching pair.