Question

35 POINTS!!!!!
Jia has a bag with a purple marble, a white marble, and an orange marble. She pulls a marble from the bag and then puts it back 3 times.

PART A: How many possible outcomes are there for this experiment?
Part B: What is the probability of selecting exactly 2 white marbles?
PART C: What is the probability of selecting two orange marbles after selecting a purple marble?

Answer 1

Answer: A)The possible outcomes from this experiment are all three marbles,   the purple marble, the white marble , and the orange marble.   Another possible outcome can be the same one three times, Also two of the same marble and 1 of a marble.    

B)The probability of selecting exactly to marbles is 2:4

C)The probability of selecting two orange marbles after selecting a purple marble would be 3:6

Answer 2

For this experiment, we will have a total of 27 outcomes, then:

• B) P = 0.22
• C) P = 0.04

How many possible outcomes there are?

The number of outcomes is given by the product between the numbers of options for each trial.

Here we have 3 marbles of 3 different colors, on each trial we draw one and then replace it. So there are 3 trials with 3 options each, then there are:

C = 3*3*3 = 27 combinations.

What is the probability of getting 2 white marbles?

On each trial, the probability of getting a white marble is 1/3.

Then the probability of getting 2 and then a non-white marble is:

p = (1/3)^2*(2/3)

If we take in account the permutations (there are 3 permutations, this depends on when we don't draw the white marble, and there are 3 possible trials where we don't do this) the probability will be:

P = 3*p = 3*(1/3)^2*(2/3) = 0.22

How to get the last probability?

Notice that now we have an imposed order, so this time the permutations don't matter. First, we need to draw a purple marble, then an orange one, and then another orange one.

The probability is 1/3 for each individual marble, so the total probability is:

P = (1/3)^3 = 1/27 = 0.04

If you want to learn more about probability, you can read:

https://brainly.com/question/251701