SOLUTION: 2. A bag contains 13 marbles: 6 red ones, 4 blue ones, and 3 yellow ones. Suppose that two marbles are selected without replacement. (a) What is the probability that a red marble

Algebra.Com
Question 509183: 2. A bag contains 13 marbles: 6 red ones, 4 blue ones, and 3 yellow ones. Suppose that two marbles are selected without replacement.
(a) What is the probability that a red marble, and then a yellow marble (in that order) are selected?
(b) What is the probability that neither of the two marbles is blue?

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A bag contains 13 marbles: 6 red ones, 4 blue ones, and 3 yellow ones.
Suppose that two marbles are selected without replacement.
--------------
(a) What is the probability that a red marble, and then a yellow marble (in that order) are selected?
There are 13*12 = 156 ordered pairs to select.
6*4 = 24 of them are red then blue
----
P(red then blue) = 24/156
======================================
(b) What is the probability that neither of the two marbles is blue?
There are 156 pairs
9*8 = 72 of them contain no blue
----
P(no blue) = 72/156
======================
Cheers,
Stan H.
=================

RELATED QUESTIONS

A bag contains 6 red marbles, 4 blue marbles, 7 white marbles and 9 yellow marbles. You... (answered by edjones)
Why is the following not a binomial random variable? Select, without replacement, 5... (answered by stanbon)
2. A bag contains 3 marbles: a red one, a blue one, and a yellow one. Suppose that two... (answered by stanbon)
a bag contains 2 red, 4 yellow, and 6 blue marbles. two marbles are drawn without... (answered by stanbon)
A bag contains 5 red marbles, 3 blue marbles, and 4 yellow marbles. If 2 marbles are... (answered by ikleyn)
A bag contains 4 blue marbles and 5 red marbles. If 2 marbles are selected at random... (answered by scott8148)
Suppose that a bag contains 3 red marbles, 5 orange marbles, and 7 yellow marbles. What... (answered by ikleyn)
A bag contains 5 red marbles, 6 blue marbles, 9 white marbles and 9 yellow marbles. You... (answered by )
A bag contains 6 red marbles, 4 blue marbles, and 3 green marbles. If you draw two... (answered by Fombitz)