A jar contains 20 yellow marbles, 55 green marbles, and 25 purple marbles. You pick one marble from the jar at random. What is the theoretical probability of picking a purple marble?
25%
This is the correct answer for if you add them up it is 100% so they all vary.
Answer:
Theoretical Probability of picking a purple marble from jar is \(\frac{1}{4}\)
Step-by-step explanation:
Given: 20 yellow marbles , 55 green marbles and 25 purple marbles in jar.
To find: Theoretical Probability of picking a purple marble
\(Theoretical\,Probability=\frac{No.\,of\,favourale\,outcome}{Total\,No.\,of\,outcome}\)
No of Yellow Marble = 20
No of Green Marble = 55
No of Purple Marble = 25
⇒ Total No. of marble = 20 + 55 + 25 = 100
Let E be the event of picking a Purple Marble from jar
⇒ \(Probability\,(Event\,E)=\frac{25}{100}\)
\(Probability=\frac{1}{4}\)
Therefore, Theoretical Probability of picking a purple marble from jar is \(\frac{1}{4}\)