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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?

Verified Answer :

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 \(\frac{1}{4}\)