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13. The University of Oregon's football team has many different
uniforms. The coach can choose from four colors of jerseys and
pants: green, yellow, white, and black. There are three helmet
options: green, white, and yellow. Also, there are the same four
colors of socks and two colors of shoes, black and yellow.
a. How many jersey/pant combinations are there?
b. If the coach picks a jersey/pant combination at random, what is
the probability he will pick a yellow jersey with green pants?
c. Use a tree diagram to find all of the possible shoe and sock
combinations.


Sagot :

The dataset of the University of Oregon's football team is an illustration of combination and probability

The number of jersey/pant combination

The given parameters are:

Jersey = 4

Pants = 4

So, the number of jersey/pant combination is:

Combination = 4 * 4

Combination = 16

Hence, there are 16 combinations of jersey/pant

The probability of picking a yellow jersey and green pant

There is only one combination of yellow jersey and green pant from the total of 16 combinations.

So, the probability is:

P = 1/16

Hence, the probability of picking a yellow jersey and green pant is 1/16

The tree diagram

See attachment

From the attachment, we have a total of 8 possible combination of shoe and sock

Read more about probability at:

https://brainly.com/question/251701

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View image MrRoyal