The sample space below shows the results of the final eight matches played by the English soccer team Manchester United during their championship 2012-20132012−20132012, minus, 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, 3, 5, 6, and 8 as a subset of the sample space, which of the statements below describe this subset?

a. The subset consists of all the matches where Manchester United's opponent did not win.
b. The subset consists of a the matches where Manchester United's opponent did not lose.
c. The subset consists of an the matches where Manchester United did not win.
d. The subset consists of all the matches where there was a tie.

Manchester United Opponent
Match 1 1 2
Match 2 2 0
Match 3 2 2
Match 4 3 0

In a sample of 2023 u. s. adults, 373 said franklin roosevelt was the best president since world war ii. two u. s. adults are selected at random from the population of all u. s. adults without replacement. assuming the sample is representative of all u. s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.