A Pair of Fair Dice Is Tossed $A \cup B .$

question 66

Multiple Choice

A pair of fair dice is tossed. Events A and B are defined as follows. A: {The sum of the numbers on the dice is 4}
B: {The sum of the numbers on the dice is 11}
Identify the sample points in the event $A \cup B .$

• A) \(\{ ( 1,3 ) , ( 2,2 ) , ( 3,1 ) , ( 5,6 ) , ( 6,5 ) \}\)
• B) \(\{ ( 1,4 ) , ( 2,3 ) , ( 3,2 ) , ( 4,1 ) , ( 5,6 ) , ( 6,5 ) \}\)
• C) \(\{ ( 1,4 ) , ( 2,2 ) , ( 4,1 ) , ( 5,6 ) , ( 6,5 ) \}\)
• D) There are no sample points in the event \(A \cup B .\)

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Definitions:

Alternative Hypothesis

A hypothesis that contradicts the null hypothesis, suggesting that there is a statistically significant relationship between variables.

One-way ANOVA

A statistical test that determines whether there are statistically significant differences between the means of three or more unrelated groups.

Democrats

A member or supporter of the Democratic Party, one of the two major contemporary political parties in the United States.

Variance

A measure of how much values in a data set differ from the mean of the data set.