A Pair of Fair Dice Is Tossed $A \cap B$

A)

question 188

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 3}
B: {At least one of the dice shows a 2}
Identify the sample points in the event $A \cap B$ .

• A) \(\{ ( 2,2 ) , ( 2,3 ) , ( 2,4 ) , ( 2,5 ) , ( 2,6 ) , ( 3,2 ) , ( 4,2 ) , ( 5,2 ) , ( 6,2 ) \}\)
• B) \(\{ ( 1,2 ) , ( 2,1 ) \}\)
• C) \(\{ ( 1,2 ) , ( 2,1 ) , ( 2,2 ) , ( 2,3 ) , ( 2,4 ) , ( 2,5 ) , ( 2,6 ) , ( 3,2 ) , ( 4,2 ) , ( 5,2 ) , ( 6,2 ) \}\)
• D) \(\{ ( 2,1 ) , ( 2,2 ) , ( 2,3 ) , ( 2,4 ) , ( 2,5 ) , ( 2,6 ) \}\)

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Definitions:

Standard Cost

Standard cost refers to the predetermined cost of manufacturing a single unit or a number of units of product under current or anticipated operating conditions.

Standard Quantity

The predetermined amount of materials, labor, or overhead that should be used in the production process, serving as a benchmark for measuring efficiency.

Variable Overhead Spending Variance

The difference between the actual variable overheads incurred and the expected costs based on standard overhead rates.

Standard Quantity

The expected or predetermined amount of materials or input required to produce a single unit of product.