Questions: Suppose a special 35-sided die is rolled once where each face is marked with a number 1 through 35. What is the probability that the die lands on a 4 or a 13?

Suppose a special 35-sided die is rolled once where each face is marked with a number 1 through 35. What is the probability that the die lands on a 4 or a 13?

Transcript text: Score: 2/8 Answered: 2/8 Question 3 Suppose a special 35 -sided die is rolled once where each face is marked with a number 1 through 35 . What is the probability that the die lands on a 4 or a 13? $\square$ Submit Question

Solution

Solution Steps

To find the probability of the die landing on a 4 or a 13, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. Since the die has 35 sides, there are 35 possible outcomes. The favorable outcomes are landing on a 4 or a 13, which are 2 outcomes.

Step 1: Determine Total Outcomes

The total number of outcomes when rolling a 35-sided die is given by: \[ \text{Total Outcomes} = 35 \]

Step 2: Identify Favorable Outcomes

The favorable outcomes for landing on either a 4 or a 13 are: \[ \text{Favorable Outcomes} = 2 \quad (\text{4 and 13}) \]

Step 3: Calculate Probability

The probability $ P $ of landing on a 4 or a 13 is calculated using the formula: \[ P = \frac{\text{Favorable Outcomes}}{\text{Total Outcomes}} = \frac{2}{35} \approx 0.0571 \]