Janelle had trouble accessorizing her outfits, so she made these spinners to randomly select what she should add to the clothes she is wearing. Note that each fraction of the circle is listed within each section. Using a table or area model create an organized list to answer this question.What is the probability that Janelle will add a scarf and boots (tall or short) to her outfit.

Janelle had trouble accessorizing her outfits so she made these spinners to randomly select what she should add to the clothes she is wearing Note that each fra class=

Respuesta :

Using probability of independent events, it is found that there is a [tex]\frac{2}{9}[/tex] probability that Janelle will add a scarf and boots (tall or short) to her outfit.

Independent Events:

  • If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, the events are:

  • Event A: Scarf, which has probability [tex]P(A) = \frac{1}{3}[/tex].
  • Event B: Boots, which has probability [tex]P(B) = \frac{1}{2} + \frac{1}{6} = \frac{4}{6} = \frac{2}{3}[/tex]

Hence:

[tex]P(A \cap B) = P(A)P(B) = \frac{1}{3} \times \frac{2}{3} = \frac{2}{9}[/tex]

[tex]\frac{2}{9}[/tex] probability that Janelle will add a scarf and boots (tall or short) to her outfit.

To learn more about probability of independent events, you can take a look at https://brainly.com/question/25715148