What is counting rule in probability?

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What is counting rule in probability?

The Fundamental Counting Principle (also called the counting rule) is a way to figure out the number of outcomes in a probability problem. Basically, you multiply the events together to get the total number of outcomes.

How many ways can you answer a 10 question True or false?

So number of ways to answer all the 10 question will be =3×3×3×3×3×3×3×3×3×3= 3^(10)=59049.

How many ways can a student answer a 10 true or false question?

Extending this to ten questions, there are 210 ways to answer all ten questions, 10×29 for answering all but one question, 45×28 ways of answering all but two questions, etc, giving a total of (2+1)10=310.

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How many ways can a 6 question multiple-choice questions be answered?

There would be 4,096 different possible answer keys to the test described. We can determine this number using the fundamental counting principle.

What is the probability of getting at least one correct answer?

Thus, the probability of getting at least one correct answer is 1023 1024 ≈ 0.999 There are ten ways the student can get exactly one correct answer (one for each possible question they could have guessed correctly).

What is the probability of getting 4 out of 5 right?

Under complete randomness of the answers and the guesses, the probability of getting any one question right is 25\%. Conversely, the probability of getting an answer wrong is 75\%. The probability of getting any 4 out of 5 right is the sum of the probabilities of the 5 different orders in which one can choose 4 right and 1 wrong:

What is the probability of C N C N N N?

By the Multiplication Rule, the probability of C C N N N (first two right, next three wrong) is ( 1 / 3) 2 ( 2 / 3) 3. But we can also get two right, three wrong in several other ways, like C N C N N, C N N C N, and so on. Each has probability ( 1 / 3) 2 ( 2 / 3) 3.

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How many possible answers are there to a multiple choice exam?

The question is: A 10-question multiple choice exam is given, and each question has five possible answers. Pasxal takes this exam and guesses at every question.