Question

question 3 of 10
a bag has 5 balls: 1 red (r), 1 green (g), 1 yellow (y), 1 blue (b), and 1 orange (o).
you randomly choose a ball. what is the sample space?
a. {g, o}
b. {r, g, y, b, p}
c. {r, g, y, b, o}
d. {r, g, y, b}

Explanation:

Step1: Define Sample Space

The sample space is the set of all possible outcomes. Here, the bag has 5 balls: red (R), green (G), yellow (Y), blue (B), and orange (O). So all possible outcomes when choosing a ball are these 5 balls.

Step2: Evaluate Options

• Option A: {G, O} is missing R, Y, B. Incorrect.
• Option B: {R, G, Y, B, P} has P which is not a ball. Incorrect.
• Option C: {R, G, Y, B, O} includes all 5 balls. Correct.
• Option D: {R, G, Y, B} is missing O. Incorrect.

Answer:

C. {R, G, Y, B, O}