Question

Four universities—1, 2, 3, and 4—are participating in a holiday basketball tournament. In the first round, 1 will play 2 and 3 will play 4. Then the two winners will play for the championship, and the two losers will also play. One possible outcome can be denoted by 1324 (1 beats 2 and 3 beats 4 in first-round games, and then 1 beats 3 and 2 beats 4). a. List all outcomes in S. b. Let A denote the event that 1 wins the tournament. List outcomes in A.

Answer 1

Answer:

a) S= (1324

1342

1423

1432

2314

2341

2413

2431

3124

3142

3214

3241

4123

4132

4213

4231)

b) A= (1324

1342

1423

1432)

Step-by-step explanation:

The number of total outcome is given by,

T= 4×2×2×1=16

Listing them we have;

S=

(1324

1342

1423

1432

2314

2341

2413

2431

3124

3142

3214

3241

4123

4132

4213

4231)

b) A= (1324

1342

1423

1432)