Question 204904: A specific brand of bike comes in two frames, for males or females. Each frame comes in a choice of three colors, red, white, and blue, and with a choice of three seats, soft, medium, and hard.
a) Use the counting principle to determine the number of different arrangements of bicycles that are possible.
b) Construct a tree diagram illustrating all the different arrangements of bicycles that are possible.
c) List the sample space.
I have been working on this question for about 2 days now and I seriously do not know how to do a tree. Well I know how to make one I think but I don't know where to begin.. Please someone help if you have the time.. This is the last question on my assignment. Please help...
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! a)
Number of Genders * Number of Colors * Number of Seat Choices = 2 * 3 * 3 = 6 * 3 = 18
So there are 18 different bike configurations.
b)
Here's the tree:
c)
Here are ALL of the possible configurations which form the sample space:
{male, red, soft}
{male, red, medium}
{male, red, hard}
{male, white, soft}
{male, white, medium}
{male, white, hard}
{male, blue, soft}
{male, blue, medium}
{male, blue, hard}
{female, red, soft}
{female, red, medium}
{female, red, hard}
{female, white, soft}
{female, white, medium}
{female, white, hard}
{female, blue, soft}
{female, blue, medium}
{female, blue, hard}
Note: an example point {female, red, soft} means that the bike has a female frame, is red, and has a soft seat.
If you count all of the possible configurations, you'll count out 18 possible configurations.
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