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George has 4 sets of socks, and 4 sets of shoes. Each pair has a different color: White, Brown, Black, and Blue. If George selects a pair of socks (same color) and a pair of shoes (same color) at random, what is the theoretical probability that George will choose a white pair of shoes and a pair of socks that are not white

Respuesta :

Using it's concept, it is found that there is a [tex]\frac{3}{16}[/tex] probability that George will choose a white pair of shoes and a pair of socks that are not white.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

  • One out of four pairs of shoes are white.
  • Three out of four pairs of socks are not white.

Since the events are independent:

[tex]p = \frac{1}{4} \times \frac{3}{4} = \frac{3}{16}[/tex]

[tex]\frac{3}{16}[/tex] probability that George will choose a white pair of shoes and a pair of socks that are not white.

More can be learned about probabilities at https://brainly.com/question/14398287

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