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Probability — Test

Question 3 • Algebra 2 with Probability

Ten people (labeled 1 – 10 ) have purchased raffle tickets for a fundraiser. However, they did not all purchase the same number of tickets. One ticket is to be selected at random. Which of the following could be the probability distribution for the winning ticket?

Answer
A
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 0 1'; Column 2, '0 point 0 1'; Column 3, '0 point 0 5'; Column 4, '0 point 0 7'; Column 5, '0 point 6 8'; Column 6, '0 point 0 1'; Column 7, '0 point 0 5'; Column 8, '0 point 0 3'; Column 9, '0 point 0 1'; Column 10, '0 point 0 8'
B
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 1 0'; Column 2, '0 point 1 0'; Column 3, '0 point 1 0'; Column 4, '0 point 1 0'; Column 5, '0 point 1 0'; Column 6, '0 point 1 0'; Column 7, '0 point 1 0'; Column 8, '0 point 1 0'; Column 9, '0 point 1 0'; Column 10, '0 point 1 0'
C
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 0 1'; Column 2, '0 point 1 1'; Column 3, '0 point 0 2'; Column 4, '0 point 1 2'; Column 5, '0 point 0 3'; Column 6, '0 point 1 3'; Column 7, '0 point 0 4'; Column 8, '0 point 1 4'; Column 9, '0 point 0 5'; Column 10, '0 point 1 5'
D
Table with 10 columns and 2 rows.Row 1: Column 1, '1'; Column 2, '2'; Column 3, '3'; Column 4, '4'; Column 5, '5'; Column 6, '6'; Column 7, '7'; Column 8, '8'; Column 9, '9'; Column 10, '10' Row 2: Column 1, '0 point 1 2 5'; Column 2, '0 point 1 2 5'; Column 3, '0 point 1 2 5'; Column 4, 'negative 0 point 1 2 5'; Column 5, '0 point 1 2 5'; Column 6, '0 point 1 2 5'; Column 7, '0 point 1 2 5'; Column 8, '0 point 1 2 5'; Column 9, '0 point 1 2 5'; Column 10, '0 point 1 2 5'

Explanation

A probability distribution must have probabilities that are nonnegative and add to 1. In choice A, the probabilities add to 1.00, and they are not all equal, matching the fact that the ten people bought different numbers of tickets. Choice B assigns everyone the same probability, while C does not sum to 1 and D includes a negative probability.

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