Question

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 green marble

Answer 1

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

$P(G)=\frac{55}{100}$

$P(G)=\frac{11}{20}$

$P(G)=0.55$

Therefore, The theoretical probability of picking a green marble is 0.55.

Answer 2

So, if the jar has 20 yellow marbles, 55 green marbles, and 25 purple marbles in total it has 100 marbles. (check:20+55+25=100m). Sense there are 55 green marbles out of 100, your theoretical probability will be 550/100(fraction:55 over 100). Simplified its 11/20.