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A set of seven cards are labeled with [tex]N, U, M, B, E, R, S[/tex]. What is the sample space for choosing one card?

A. [tex]S = \{N, B, R, M, U\}[/tex]
B. [tex]S = \{N, B, S, M, E, R, U\}[/tex]
C. [tex]S = \{B, U, S\}[/tex]
D. [tex]S = \{M\}[/tex]

Sagot :

To determine the sample space for choosing one card from a set of seven cards labeled with the letters \( N, U, M, B, E, R, S \), we need to list all the possible outcomes.

The sample space is the set of all possible outcomes when one card is chosen. Each of the cards has a unique label, so each letter represents a distinct possible outcome.

Given the cards labeled with \( N, U, M, B, E, R, S \), the sample space consists of these letters. We list these letters in a set, which includes all possible outcomes of selecting one card from the set:

[tex]\[ S = \{ N, U, M, B, E, R, S \} \][/tex]

We need to compare this set with the provided choices:

- \( S = \{ N, B, R, M, U \} \) - This set is incomplete as it is missing \( E \) and \( S \).
- \( S = \{ N, B, S, M, E, R, U \} \) - This set includes all the correct letters and matches our sample space.
- \( S = \{ B, U, S \} \) - This set is incomplete as it is missing \( N, M, E, R \).
- \( S = \{ M \} \) - This set is incomplete as it is missing \( N, U, B, E, R, S \).

Thus, the correct sample space for choosing one card is:

[tex]\[ S = \{ N, B, S, M, E, R, U \} \][/tex]

So, the correct answer is:
[tex]\[ S = \{ N, B, S, M, E, R, U \} \][/tex]