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About Paul Klarreich
Expertise
I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

Experience
I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

 
   

You are here:  Experts > Science > Mathematics > Advanced Math > Probability of Independent Events

Topic: Advanced Math



Expert: Paul Klarreich
Date: 5/12/2008
Subject: Probability of Independent Events

Question
On a multiple-choice test of 10 questions, each question has 5 possible answers. A student is certain of the answers to 4 questions but is totally baffled by 6 questions, what is the probability that the student will get a score of 5 or more on the test? Express your answer to two decimal places.

Answer
Questioner:   Joel
Category:  Advanced Math
Private:  No
 
Subject:  Probability and statisitcs
Question:  On a multiple-choice test of 10 questions, each question has 5 possible answers. A student is certain of the answers to 4 questions but is totally baffled by 6 questions, what is the probability that the student will get a score of 5 or more on the test? Express your answer to two decimal places.
..................................
Hi, Joel,

Try looking at the question this way:

He only needs one more right to get at least a 5.  You want

p(at least one more right), which =

1 - p(not getting one more right),

And p(not getting one more right) =

p(getting all six wrong),  which =

(since they are independent)

p(getting one of the six wrong)^6, which =

(4/5)^6.

Does that do it?


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