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Ch. 3 - Probability
Larson - Elementary Statistics: Picturing the World 8th Edition
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Larson 8th EditionCh. 3 - Probability문제 3.1.46
3장, 문제 3.1.46

Finding Classical Probabilities In Exercises 41-46, a probability experiment consists of rolling a 12-sided die numbered 1 to 12. Find the probability of the event.
46. Event F: rolling a number divisible by 5

검증된 단계별 안내
1
Step 1: Understand the problem. The experiment involves rolling a 12-sided die numbered from 1 to 12. The goal is to find the probability of rolling a number divisible by 5.
Step 2: Identify the numbers divisible by 5 within the range of 1 to 12. A number is divisible by 5 if it can be expressed as 5 × k, where k is an integer. In this case, the numbers divisible by 5 are 5 and 10.
Step 3: Count the total number of outcomes in the sample space. Since the die has 12 sides, the total number of outcomes is 12.
Step 4: Count the favorable outcomes for Event F. The favorable outcomes are the numbers divisible by 5, which are 5 and 10. Therefore, there are 2 favorable outcomes.
Step 5: Calculate the probability using the classical probability formula: \( P(F) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Substitute the values: \( P(F) = \frac{2}{12} \). Simplify the fraction if needed.

비슷한 문제에 대한 검증된 영상 답변:

이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Classical Probability

Classical probability is defined as the ratio of the number of favorable outcomes to the total number of possible outcomes in a probability experiment. It assumes that all outcomes are equally likely. For example, when rolling a 12-sided die, the total outcomes are 12, and the probability of rolling a specific number is 1/12.
추천 영상:
5:37
Introduction to Probability

Divisibility

Divisibility is a mathematical concept that determines whether one integer can be divided by another without leaving a remainder. In the context of the given problem, we are interested in the numbers on the die that are divisible by 5, which are 5 and 10. Understanding which numbers meet this criterion is essential for calculating the probability of event F.
추천 영상:
가이드 코스
07:32
Difference in Means: Hypothesis Tests Example 1

Event and Sample Space

An event is a specific outcome or a set of outcomes from a probability experiment, while the sample space is the set of all possible outcomes. In this case, the sample space consists of the numbers 1 through 12 on the die, and event F includes the outcomes that are divisible by 5. Identifying the event and sample space is crucial for calculating the probability of event F.
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05:11
Sampling Distribution of Sample Proportion
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3. What does the notation P(B|A) mean?

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