Chapter 0, Problem 63POT

To determine

To find: the sample space and number of possible outcomes of the given condition by using a tree diagram.

Answer to Problem 63POT

  $P\left(\text{not blue}\right)=\frac{3}{5}$ .

Explanation of Solution

Given:

The given condition is:

Amovie theater is offering snacks.

The size of the snacks (popcorns) offered by the theater is small, medium, large, and jumbo with or without butter.

Calculation:

According to the question,

If the customer chooses small popcorns, then the conditions are:

1. With butter
2. Without butter
3. With soda water
4. With bottled water

And there are four different size, therefore number of possible outcomes is $4\times 4=16$ .

number of blackmarbles is 2 blue marbles.

Therefore, the probability of blue is $P\left(\text{blue}\right)=\frac{6}{\text{15}}$

Hence, the number of possible outcomes is $16$ .