Question

Help but please be pacient while i put the drawing!! Fan and medal!!

Answer 1

A.
{A1, B2}


B.
{A1, B2, A3, B4}


C.
{A1, A2, B3, B4}


D.
{A1, A2, A3, A4, B1, B2, B3, B4}

Answer 2

HELP!!!

Answer 3

Errr... I'm bad at explaining, but here's my explanation

It's D
Lets think of it as the possible combinations.
For the first spin we have A and B as possible spaces.
Then for the second spin we have 1,2,3,and 4. That makes the choices of A1, A2, A3, A4, B1, B2, B3, and B4 because those are the possible combinations.

Another quick shortcut for this is to multiply the number of choices, spin 1 has 2 choices, and spin 2 has 4 choices
4x2=8 and D has 8 sample spaces

Answer 4

Marilee spins the arrow on Spinner 1 and then spins the arrow on Spinner2. What is the sample space for this experiment?

This is asking for the sample space. Sample space is just a fancy way of saying a list of all the possible outcomes. There are two methods of getting all the outcomes(sample space)

First we can use the Counting Principle, which states if the first experiment can be performed in x distinct ways and the second experiment can be performed in y distinct ways then the two experiments can be performed in x times y distinct ways.

The first experiment is the one with a and b and can be preformed in 2 ways and the seconded experiment is the one with 1,2,3 and 4 and can be preformed in 4 ways. So to find the sample space( all the out comes), we can use the counting principle. 2 time 4 equals 8 outcomes in our list of sample space


Another way to figure this out is to create a tree digram. With a tree, your first spend will be on the first experiment. It is the chart with A and B. It has two outcomes. Either A or B. From the first outcome, we go to A and we will spin the second experiment. The second experiment is the chart with 1,2,3 and 4. After spinning the second experiment, we get 4 outcomes, which is linked to A. We do this again but we do it for B. Below is a tree digram.



From looking at the tree digram, we can see that our sample space is D.
S = {A1, A2, A3, A4, B1, B2, B3, B4} = 8 sample space.