Question

Kim has 3 blue skirts, 1 white skirt, 2 pairs of khaki pants, and 4 jeans. She also has 3 short sleeve shirts, 5 long sleeve shirts, 2 sweatshirts, and 1 sweater. What is the probability that Kim will choose jeans and a sweatshirt?

Answer 1

Explanation:

So we could have the following 6 combinations with Shirt A:

Shirt A, Skirt A, Shoe A

Shirt A, Skirt A, Shoe B

Shirt A, Skirt B, Shoe A

Shirt A, Skirt B, Shoe B

Shirt A, Skirt C, Shoe A

Shirt A, Skirt C, Shoe B

Consider that there are four other shirts that will also have 6 combinations of skirts and shirts that will go with them. Now, there are 5×6 total combinations which is 30 ways that Sofia could dress the mannequin.

Ralph is trying to purchase a new car. The salesperson tells him that there are 8 different possible interior colors, 5 exterior colors and 3 car models to choose from. How many different unique cars does he have to choose from?

Instead of making a tree diagram this time, let’s look at a more efficient method for determining the number of combinations. If we consider what happens in the tree diagram, the 8 different interior colors would each be matched with each of the 5 exterior colors and those combinations would then be linked to the 3 different models, we can see that:

8 interior colors×5 exterior colors× 3 models=8×5×3=120 combinations

Monique is having a 5 course dinner in the dining room on a cruise. The menu consists of 2 appetizers, 3 soups, 2 salads, 4 entrees and 3 desserts. How many different meals could be configured if she chooses one of each course?

Following the method described in #2 above, we can multiply the number of choices for each course together to determine the total combinations:

2×3×2×4×3=144 unique 5 course meals tell me if im right

Answer 2

`(8)/(441)`

Explanation:

Blue Skirt = 3

White Skirt = 1

Khaki Pant = 2

Jeans = 4

Short Sleeve = 3

Long Sleeve = 5

Sweatshirt = 2

Sweater = 1

We want probability of jeans and a sweatshirt.

In probability, "AND" means "Multiplication" and "OR" means "Addition"

We want probability of jeans and probability of sweatshirt, and then "ADD THEM UP"

Total amount = 3 + 1 + 2 + 4 + 3 + 5 + 2 + 1 = 21

Probability (jeans) = 4/21

Probability (sweatshirt) = 2/21

Probability (Jeans & Sweatshirt) = (4/21) * (2*21) = 8/441

The probability is
`(8)/(441)`