SOLUTION: A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first

Question 320299: A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is blue and the second sock is blue?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock, return it, and draw out a second sock. What is the probability that the first sock is blue and the second sock is blue?
-----------------------
P(blue on 1st draw) = 11/22 = 1/2
----
Since the blue sock is replaced,
P(blue on 2nd draw) = 11/22 = 1/2
---------------------------------
P(2 blue with replacement) = (1/2)(1/2) = 1/4
=================================================
Cheers,
Stan H.
==========
RELATED QUESTIONS
A drawer contains 2 red socks, 4 white socks, and 10 blue socks. Without looking, you... (answered by swincher4391)

A drawer contains 4 red socks, 6 white socks, and 8 blue socks. Without looking, you draw (answered by KMST)

A drawer contains 10 red socks, 6 white socks, and 8 blue socks. Without looking, you... (answered by ikleyn)

A drawer contains 4 single red socks, 9 single white socks, and 2 single blue socks.... (answered by stanbon)

A drawer contains 4 red socks, 6 white socks, and 10 blue socks. Without looking, you... (answered by stanbon)

A drawer contains 4 red socks, 10 white socks, and 9 blue socks. Without looking, you... (answered by sudhanshu_kmr)

There is a drawer with 10 red socks,10 white socks and 2 blue socks. You draw out one... (answered by Fombitz)

A drawer contains 5 red socks, 10 white socks, and 3 blue socks. Without looking, you... (answered by stanbon)

In your sock drawer you have 6 brown socks, 4 black socks and 8 white socks. without... (answered by stanbon)