Richard has just been given a 10-question multiple-choice quiz in his psychology class. Each question has five answers, of which only one is correct. Since he has not attended class recently, he doesn’t know any of the answers. What makes up a trial? What is a success? What is a failure? What are the values of n, p, and q?
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
- Richard has just been given a 10-question multiple-choice quiz in his psychology class. Each question has five answers, of which only one is correct. Since he has not attended class recently, he doesn’t know any of the answers.
- What makes up a trial?
- What is a success?
- What is a failure?
- What are the values of n, p, and q?
Assuming Richard guesses on all 10 questions, find the indicated probabilities.
- What is the probability that he will answer all 10 correctly.
- What is the probability that he will answer all 10 incorrectly.
- What is the probability that he will answer at least one of the questions correctly.
- What is the probability that he will get at most 3 correct?
- What is the average number(expected value) of questions Richard will answer correctly
- What is the standard deviation?
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Given,
10 multiple choice question each has five answers, of which only one is correct.
To find,
1. what makes up a trial?
2. waht is success and failure?
3. what are the values of n, p and q?
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