Respuesta :

Answer:

The probability of selecting a peach scone = [tex]\displaystyle\bf\frac{1}{2}[/tex].

Step-by-step explanation:

To find the probability that a randomly selected pastry will be a peach scone, we can use the probability formula:

[tex]\boxed{P(A)=\frac{n(A)}{n(S)} }[/tex]

where:

  • P(A) = probability of event A
  • n(A) = total number of outcomes of event A
  • n(S) = total number of all possible outcomes

Let: A = event of selecting a peach scone

Given:

  • n(S) = 18
  • n(A) = 9

Therefore:

[tex]\displaystyle P(A)=\frac{n(A)}{n(S)}[/tex]

         [tex]\displaystyle =\frac{9}{18}[/tex]

         [tex]\displaystyle =\frac{1}{2}[/tex]