Question

Subsets of sample spaces

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The sample space below shows the results of the final eight matches played by the English soccer team

Manchester United during their championship 2012 - 2013 season. They won matches where they scored

more goals than their opponent, lost matches where they scored less, and tied matches where they scored the

same amount.

If we take matches 1, 2, 4, 6, and 7 as a subset of the sample space, which of the statements below describe

this subset?

Choose all answers that apply:

CA

The subset consists of all the matches where Manchester United's opponent did not win.

B)

The subset consists of all the matches where Manchester United won or lost.

©

The subset consists of all the matches where Manchester United did not win.

Answer 1

The letter may be in different orders.

2 answers: "The subset consists of all the matches where there were no ties" and "The subset consists of all the matches where Manchester United won or lost"

Explanation:

process of elimination. All the nonhighlighted matches are were there were ties. The highlighted ones have no ties and both teams lost or won.

Answer 2

B) The subset consists of all the matches where Manchester United won or lost.

Explanation:

1 - Manchester united lost

2 - Manchester United won

4 - Manchester United won

6 - Manchester United lost

7 - Manchester United won

Hence, 1, 2, 4, 6, 7 consists of matches where Manchester United either won or lost.

Therefore, 1,2,4,6,7 is a subset of the sample space where Manchester United won or Lost