Question

What is the probability of picking a pink marble out of a bag with 3 orange marbles, 5 pink marbles, and 2 gray marbles?
Select one:
a. 50%
b. 75%
c. 33%
d. 25%

What is the probability of picking a pink and an orange out of the bag in #3 if you do NOT replace the first marble?
Select one:
a. 37%
b. 27%
c. 7%
d. 17%

What is the probability of picking a pink and an orange out of the bag in #3 if you replace the first marble?
Select one:
a. 13%
b. 12%
c. 15%
d. 14%

Answer 1

Yeah that's what I got as well for the first one but what about the next two

Answer 2

without replacement means, when you perform the first trial (you pick out a pink marble), the next trial (pick out an orange marble) will be done assuming you pulled the correct marble out of the first trial, so,\[P(pink)=\frac{ 5 }{ 10 }\]so that the probabiity of getting an orange, after you already pulled a pink one out is\[P(Pink|orange)=\frac{ 3 }{ 9 }\]this happens because you perform the second trial with one less marble (the pink that you took out)