Answer:
See Explanation
Step-by-step explanation:
Given [Missing Information]
[tex]Red = 12[/tex]
[tex]Blue = 10[/tex]
[tex]Green = 15[/tex]
[tex]Yellow = 13[/tex]
Way 1:
Add up the total marbles that are not red.
[tex]Not\ Red = Blue + Green + Yellow[/tex]
[tex]Not\ Red = 10 + 15 + 13[/tex]
[tex]Not\ Red = 38[/tex]
Divide by total marbles to get the probability;
[tex]Probability = \frac{Npt\ Red}{Total}[/tex]
[tex]Probability = \frac{38}{38 + 12}[/tex]
[tex]Probability = \frac{38}{50}[/tex]
[tex]Probability = 0.76[/tex]
Way 2:
Calculate the probability of choosing red
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{12}{50}[/tex]
[tex]P(Red) = 0.24[/tex]
Apply complement rule (i.e. subtract it from 1)
[tex]P(Not\ Red) = 1 - P(Red)[/tex]
[tex]P(Not\ Red) = 1 - 0.24[/tex]
[tex]P(Not\ Red) = 0.76[/tex]
