Posted by **Scott** on Thursday, May 22, 2014 at 12:48pm.

In a multiple choice test that contains ten questions with each question having five possible answers, what is the probability that Colin will pass the test if he merely guesses at each question?

- Data Management -
**MathMate**, Thursday, May 22, 2014 at 9:59pm
Probability of getting the right answer for 1 question = 1 choice out of 5, or p=1/5.

Assuming independence among the 10 questions, probability of getting all 10 right = p^{10}

Probability of passing (getting 6 or more right out of 10) using binomial probabilities

=10C6*p^6q^4 + 10C7*p^7q^3 + 10C8*p^8q^2 + 10C9*p^9q + 10C10p^10

=(10752+1536+144+8+1)/9765625

= 12441/9765625

= 0.00127 approx.

## Answer This Question

## Related Questions

- Maths - A true/ false test is given. If a person guesses the answers, the ...
- statistics - A multiple choice test has 20 questions with each having 4 possible...
- PROBABILITY MATH - Find the probability of correctly answering the first 4 ...
- math-Probablity - A student is writing a multiple choice test consisting of 40 ...
- MATH Prob. - Find the probability of correctly answering the first 4 questions ...
- MATH Prob. - Find the probability of correctly answering the first 4 questions ...
- Statistics - A multiple choice test consists of 60 questions. Each question has ...
- Binomial Distribution - A biology quiz consists of twelve multiple-choice ...
- math - What is the difference between the number of possible answers on a five ...
- Math - What is the difference between the number of possible answers on a five ...

More Related Questions