Can the average rate of change of a function be constant ? Explain

  yes

Step-by-step explanation:

The average rate of change of any linear function is a constant. That fact is what makes it a linear function.

First, we have two marbles, and i guess that each one has the same probability of being picked at random (actually they have different densities, so one may have a larger probability than the other).

The possible outcomes are:

S G

S S

G S

G G

Now, suppose that we want to find the probability of the S G outcome.

In the first selection, we want to pick the silver marble, with a probability of ps,

In the second selection, we want to pick the gold marble, with a probability pg

As the events are independent, the joint probability will be equal to the product of the probabilities for each selection:

P = ps*pg

Now, if both marbles have the same probability of being picked, then:

ps = 0.5

pg = 0.5

P = 0.5*0.5 = 0.25

And this will be the same for each outcome.