Consider the following experiment:
Rolling a die.
What is the sample space of the experiment? What is the probability of getting a 1 or a 2?
a.
12 possible outcomes; P(1 or 2) = StartFraction 3 Over 12 EndFraction
b.
12 possible outcomes; P(1 or 2) = One-third
c.
6 possible outcomes; P(1 or 2) = One-fourth
d.
6 possible outcomes; P(1 or 2) = One-third
 	 
 

When rolling a die, the sample space consists of all possible outcomes of the roll. Since a standard die has 6 faces, the possible outcomes are:

\[
S = \{1, 2, 3, 4, 5, 6\}
\]

Thus, the sample space has 6 possible outcomes.

Now, let's calculate the probability of getting a 1 or a 2. There are two favorable outcomes (either 1 or 2) out of 6 possible outcomes. The probability is calculated as:

\[
P(1 \text{ or } 2) = \frac{2}{6} = \frac{1}{3}
\]

Thus, the correct answer is:

**d. 6 possible outcomes; P(1 or 2) = One-third**

---

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the probability of rolling an even number on a die?
2. If you roll two dice, what is the sample space for the experiment?
3. What is the probability of rolling a 5 on a die?
4. How do you calculate the probability of getting a sum of 7 when rolling two dice?
5. What is the probability of rolling a number greater than 4 on a die?

**Tip**: To calculate the probability of an event, divide the number of favorable outcomes by the total number of possible outcomes.

Consider the following experiment: Rolling a die. What is the sample space of the experiment? What is the probability of getting a 1 or a 2? a. 12 possible outcomes; P(1 or 2) = StartFraction 3 Over 12 EndFraction b. 12 possible outcomes; P(1 or 2) = One-third c. 6 possible outcomes; P(1 or 2) = One-fourth d. 6 possible outcomes; P(1 or 2) = One-third

Explore the sample space of rolling a die and learn how to calculate the probability of getting a 1 or a 2. This problem introduces key concepts in probability, including the basic probability formula and the sample space for a standard 6-sided die. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation