Answer:
The theoretical probability of picking a green marble is 0.55. Step-by-step explanation:
Given : A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random.
To find : What is the theoretical probability of picking a green marble?
Solution :
Theoretical probability is defined as the number of favorable outcome divided by total number of outcome.
Yellow Marble = 20
Green Marble = 55
Purple Marble = 25
Total Number of marble = 20 + 55 + 25 = 100
Let G be the event of getting green marble.
So, Favorable outcome = 55
Theoretical probability of picking a green marble is
[tex]P(G)=\frac{55}{100}[/tex]
[tex]P(G)=\frac{11}{20}[/tex]
[tex]P(G)=0.55[/tex]
Therefore, The theoretical probability of picking a green marble is 0.55.
