Question

identify the sample space of the probability experiment and determine the number of outcomes in the sample space.

playing the game of roulette, where the wheel consists of slots numbered \\(00, 0, 1, 2, \dots, 50\\).
to play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots.

identify the sample space.

a. the sample space is \\(\\{1, 2, \dots, 50\\}\\).
b. the sample space is \\(\\{00, 0, 1, 2, \dots, 50\\}\\).
c. the sample space is \\(\\{00\\}\\).
d. the sample space is \\(\\{00, 0\\}\\).

Explanation:

Define the sample space

Using the Sample Space Outcomes knowledge point

$$ S = \{00, 0, 1, 2, \dots, 50\} $$

Match with the given options

The set \(S = \{00, 0, 1, 2, \dots, 50\}\) corresponds directly to option B.

Answer:

• (A) The sample space is \(\{1, 2, \dots, 50\}\).
• (B) The sample space is \(\{00, 0, 1, 2, \dots, 50\}\). (Correct answer)
• (C) The sample space is \(\{00\}\).
• (D) The sample space is \(\{00, 0\}\).