Brenda’s Bike Booth, at the mall, allows people to order a bike in their choice of 4 colors (Atomic Tangerine, Banana, Café Noir, or Dollar Bill) and the options of with or without a basket; with or without a horn. Given all of these options, what’s the probability that my daughter chooses either a banana colored bike with a basket, or an Atomic Tangerine colored bike without a horn?

Question

Brenda’s Bike Booth, at the mall, allows people to order a bike in their choice of 4 colors (Atomic Tangerine, Banana, Café Noir, or Dollar Bill) and the options of with or without a basket; with or without a horn. Given all of these options, what’s the probability that my daughter chooses either a banana colored bike with a basket, or an Atomic Tangerine colored bike without a horn?

I got that there are 16 possible combinations but can't figure out the rest

Answer 1

Draw four trees with branches :)

2 of the 16 are banana with basket
2 of the 16 are AT without horn
so
4/16 = 1/4 = .25

Answer 2

To find the probability that your daughter chooses either a banana colored bike with a basket or an Atomic Tangerine colored bike without a horn, we need to determine the number of favorable outcomes and the total number of possible outcomes.

First, let's identify the favorable outcomes:

1. Banana colored bike with a basket = 1
2. Atomic Tangerine colored bike without a horn = 1

Next, let's determine the total number of possible outcomes:

There are 4 color options and 2 options for the presence of a basket (with or without). Therefore, there are 4 x 2 = 8 possible combinations for the color with or without a basket.

Similarly, there are 4 color options and 2 options for the presence of a horn (with or without). Therefore, there are 4 x 2 = 8 possible combinations for the color with or without a horn.

Since the presence of a basket and the presence of a horn are independent options, we can combine these results by multiplying the two possibilities together: 8 x 8 = 64 possible combinations.

Now, let's calculate the probability:

The probability of an event occurring is equal to the number of favorable outcomes divided by the total number of possible outcomes.

In this case, the number of favorable outcomes is 1 (banana colored bike with a basket + Atomic Tangerine colored bike without a horn), and the total number of possible outcomes is 64.

So, the probability that your daughter chooses either a banana colored bike with a basket or an Atomic Tangerine colored bike without a horn is 1/64.

Please note that the initial calculation of 16 possible combinations mentioned in your question may not be accurate since each option (color, basket, horn) should be considered separately and multiplied to get the total number of possible combinations.