Question

NBA Finals. The NBA finals of basketball is played in a best of seven series. the number of games necessary to decide a winner can range from four to seven. Wikipedia lists the NBA Final winners and number of series that were decide in 4,5,6 or 7 games for the NBA Finals from 1950 - 2012

For one of these series selected at random.

A = event that the NBA Finals was decided in five games

B = event that the NBA Finals was decided in at most five games

C = event that the NBA Finals was decided in at least five games

Describe the following event in words, and determine the number of outcome (NBA Finals) that constitute each event.

Part (a) (B & C)

Part (b) (B or C)

Part (c) (not A)

Short answer

Part (a) Number of outcomes$=15$

Part (b) Number of outcomes$=63$

Part (c) Number of outcomes$=48$

Step-by-step solution

Part (a) Step 1. Given information.

From 1950 through 2012, the number of NBA finals series decided in four, five, six, or seven games is listed in the table below:

Games	Frequency
4	8
5	15
6	24
7	16

A = event that the NBA Finals was decided in five games

B = event that the NBA Finals was decided in at most five games

C = event that the NBA Finals was decided in at least five games

Part (a) Step 2.  In words, the event (B & C) and the number of outcomes that make up the event.

(B & C) refers to the NBA finals, which were determined in five games.

Number of outcome.

$(B\&C)=15$

Part (b) Step 1. Given information.

From 1950 through 2012, the number of NBA finals series decided in four, five, six, or seven games is listed in the table below:

Games	Frequency
4	8
5	15
6	24
7	16

A = event that the NBA Finals was decided in five games

B = event that the NBA Finals was decided in at most five games

C = event that the NBA Finals was decided in at least five games

Part (b) Step 2.  In words, the event (B & C) and the number of outcomes that make up the event.

The NBA Finals were decided in four, five, six, or seven games (B OR C).

Number of outcome

$$\begin{gathered} (BorC)=8+15+24+16 \\ (BorC)=63 \end{gathered}$$

Part (c) Step 1. Given information.

From 1950 through 2012, the number of NBA finals series decided in four, five, six, or seven games is listed in the table below:

Games	Frequency
4	8
5	15
6	24
7	16

A = event that the NBA Finals was decided in five games

B = event that the NBA Finals was decided in at most five games

C = event that the NBA Finals was decided in at least five games

Part (c) Step 2.  In words, the event (not A) and the number of outcomes that make up the event.

The NBA Finals were determined in four, six, or seven games (not A).

Number of outcome

$$\begin{gathered} (notA)=8+24+16 \\ (notA)=48 \end{gathered}$$