Jimmy has to choose a coat and hat to wear outside. he has a choice of a red (r) or green (g) coat, and a choice of a blue (b) or yellow (y) hat. what is the sample space for jimmy's possible winter gear?

{GB,GY,RY,RB}

Step-by-step explanation:

Given : Jimmy has to choose a coat and hat to wear outside. He has a choice of a red (R) or green (G) coat, and a choice of a blue (B) or yellow (Y) hat.

To Find: What is the sample space for Jimmy's possible winter gear?

Solution :

Sample space : In probability theory, the sample space of an experiment or random trial is the set of all possible outcomes or results of that experiment.

To Form sample space

If he choose red coat(R) So, with that coat he can wear blue (B) or yellow (Y) hat.

So, sample space with red coat becomes {RY,RB}

Now If he choose green (G) coat So, with that coat he can wear blue (B) or yellow (Y) hat.

So, sample space with green coat becomes {GB,GY}

So, the sample space for the given situation is  {GB,GY,RY,RB}

Hence the sample space for Jimmy's possible winter gear is {GB,GY,RY,RB}

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.