A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors. What is the number of possible outcomes? a.14 b.40 c.44 d.104

Respuesta :

Answer:

40

Step-by-step explanation:

Given that:

Number of options available for transmission = 2 (Standard or Automatic)

Number of options for doors = 2 (2 doors or 4 doors)

Number of exterior colors available = 10

To find:

Total number of outcomes = ?

Solution:

First of all, let us calculate the number of outcomes for the transmission mode and number of doors options.

1. Standard - 2 doors

2. Standard - 4 doors

3. Automatic - 2 doors

4. Automatic - 4 doors

Number of outcomes possible = 4 (which is equal to number of transmission mode available multiplied by number of doors options i.e. 2[tex]\times 2[/tex])

Now, these 4 will be mapped with 10 different exterior colors.

Therefore total number of outcomes possible :

Number of transmission modes [tex]\times[/tex] Number of doors options  [tex]\times[/tex] Number of exterior colors

2 [tex]\times[/tex] 2 [tex]\times[/tex] 10 = 40

The number of possible outcomes of a new car will be 40. Then the correct option is B.

What is a sample?

A sample is a collection of well-defined elements. A sample is represented by a capital letter symbol and the number of elements in the finite sample is shown as a curly bracket {..}.

A new car is available with standard or automatic transmission, two or four doors, and it is available in 10 exterior colors.

Then the number of possible outcomes will be

[tex]\rm Possible \ outcomes = 2*2*10\\\\Possible \ outcomes = 40[/tex]

More about the sample link is given below.

https://brainly.com/question/350477