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A multiple choice test has five questons on it. There are five possible answers for each question. If you randomly guess on each question,
a. what's the probability of getting all five questions correct?
b. whats the probability of getting all five wrong?
c. what's the probability of getting exactly two correct?

2007-04-18 10:44:58 · 11 answers · asked by Anonymous in Education & Reference Homework Help

A, B, C aren't choices.. they're the questions I have to answer lol

2007-04-18 10:54:59 · update #1

11 answers

This can be done using the classical approach or
as a binomial distribution. 1/5 = 0.2

a. P(5 out of 5 correct) = (0.2)^5 = 0.00032 or 0.032%
b. P(0 out of 5 correct) = (0.8)^5 = 0.32768 or 32.768%

c. Solve using the binomial approach:
(p + q)^5 = p^5 + 5p^4q + 10p^3q^2 + 10p^2q^3 + 5pq^4 + q^5
P(2 out of 5) = 10p^2q^3 = 10*(.2)^2 * (.8)^3 = 0.2048 or 20.48%

Good luck in your studies,
~ Mitch ~

2007-04-21 04:41:14 · answer #1 · answered by Mitch 7 · 1 0

a. what's the probability of getting all five questions correct?

2007-04-18 10:48:16 · answer #2 · answered by Anonymous · 0 3

A. 1 / 3125
B. 1024 / 3125

2007-04-18 11:01:22 · answer #3 · answered by David G 2 · 0 2

Yes.

2007-04-18 10:48:22 · answer #4 · answered by redd headd 7 · 1 2

27.23334574445126586541%. That applies to all of em.

2007-04-18 10:48:55 · answer #5 · answered by mrmanseven 3 · 0 2

a. one in 3125

2007-04-18 10:54:03 · answer #6 · answered by m t 2 · 0 2

esp test?

2007-04-18 10:47:24 · answer #7 · answered by Anonymous · 0 2

well if you dont know then i guess its b

2007-04-18 10:48:59 · answer #8 · answered by Anonymous · 0 2

ummmm maybe u should just study.........lazy

2007-04-18 10:47:38 · answer #9 · answered by Hunter Y 2 · 0 2

probably c.

2007-04-18 10:48:19 · answer #10 · answered by Anonymous · 0 3

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