140k views
4 votes
Question 1

A drawer contains only blue, black, and white socks. There are 8 blue socks, 5 black socks, and 3 white socks Drag and drop the responses into the boxes to make the statement true.

The probability of selecting, without looking, a blue sock and then a

sock is

:: blue

: black

white

::

::

3

16

::

1 Answer

3 votes

Answer:

The probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.

Explanation:

Since a drawer contains only blue, black, and white socks, and there are 8 blue socks, 5 black socks, and 3 white socks, to determine the probability of selecting, without looking, a blue sock and then a blue, black or white sock the following calculations must be performed:

Blue = 8/16 x 7/15 = 0.5 x 0.46 = 0.2333

Black = 8/16 x 5/15 = 0.5 x 0.333 = 0.1666

White = 8/16 x 3/15 = 0.5 x 0.2 = 0.10

Therefore, the probability of selecting a blue sock and then other blue sock is 23.33%, of selecting a blue sock and then a black sock is 16.66%, and of selecting a blue sock and then a white sock is 10%.

User Dinesh Kannan
by
4.0k points