Jessie wants to run a simulation of 10 trials to determine the probability of her picking at least one green marble in her next two picks. She will replace the marble after the first pick. Explain how Jessie can conduct a simulation using random digits from 0-9.

From the question, we understand that the simulation is to determine the probability that she picks at least one green marble in her next two picks.

One of the ways this can be done is as follows:

Represent the green marbles with digits 0 - 4
Represent the other marbles with digits 5 - 9

The above ensures that the probability of picking a green marble in each selection is 0.5 and the probability of not picking a green marble in each selection is also 0.5 i.e. the experiment is fair

Next, is to run a simulation of 10 trials.

Take for instance, the result of the simulation is as follows:

00 65 36 48 55

19 34 87 13 90

The number of outcomes that has at least one of digits 0 - 4 represents the required outcome i.e. picking at least one green marble

From the simulation result, the number of outcomes is

At least 1 green marble = 7

Number of trials = 10

So, the probability of picking at least a green marble is:

P = 7/10

P = 70%

Note that there are several other ways the simulation can be done; this is just one of them