Respuesta :
Answer:
See Explanation Below
Step-by-step explanation:
Given
Total Sweets = 10
Red = 4
Green = 2
Yellow = 3
Purple = 1
Required
a & b
The question is not properly presented; however the solution is as follows;
A.
Let P(Yellow) represent the probability of selecting a yellow sweet and n(Yellow) represent the number of Yellow sweets;
[tex]P(Yellow) = \frac{n(Yellow)}{Total}[/tex]
[tex]P(Yellow) = \frac{4}{10}[/tex]
[tex]P(Yellow) = 0.4[/tex]
So, whichever letter that shows [tex]0.4[/tex] or [tex]\frac{4}{10}[/tex] is the probability of choosing a yellow sweet
B.
Let P(Orange) represent the probability of selecting an orange sweet and n(Orange) represent the number of orange sweets;
Since, there's no orange sweet in the bag;
[tex]n(Orange) = 0[/tex]
[tex]P(Orange) = \frac{n(Orange)}{Total}[/tex]
[tex]P(Orange) = \frac{0}{10}[/tex]
[tex]P(Orange) = 0[/tex]
In probability; opposite probabilities add up to 1;
Let P(Not\ Orange) represent the probability of choosing a sweet that is not orange
[tex]P(Not\ Orange) + P(Orange) = 1[/tex]
Substitute [tex]P(Orange) = 0[/tex]
[tex]P(Not\ Orange) + 0 = 1[/tex]
[tex]P(Not\ Orange) = 1[/tex]
So, whichever letter that shows 0 is the probability of choosing a sweet that is not orange