Answer:
The probability of selecting a red or green marble is 0.6923.
Step-by-step explanation:
Let's denote the events as follows:
R = a red marble is chosen
G = a green marble is chosen
The information provided is:
n (R) = 7
n (G) = 5
n (R ∩ G) = 3
Total number of marbles in the bag is, N = 13.
The probability of an event E is:
[tex]P (E)=\frac{n(E)}{N}[/tex]
Compute the probability of selecting a red or green marble as follows:
P (R ∪ G) = P (R) + P (G) - P (R ∩ G)
[tex]=\frac{7}{13}+\frac{5}{13}-\frac{3}{13}\\=\frac{7+5-3}{13}\\=\frac{9}{13}\\=0.6923[/tex]
Thus, the probability of selecting a red or green marble is 0.6923.
