SOLUTION: on a 10 question multiple choice test, each question has 1 correct response and three that are incorrect. If at random, a student circles an answer for each question: a) What is t

Question 275790: on a 10 question multiple choice test, each question has 1 correct response and three that are incorrect. If at random, a student circles an answer for each question:
a) What is the probability that she will get the first three and last two right?
1/4 x 1/4 x 1/4 x 3/4 x 3/4 x 3/4 x 3/4 x 3/4 x 1/4 x 1/4
=
b) What is the probabilty that she will get any 5 right?

Let:
Let: n(S)= and
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
on a 10 question multiple choice test, each question has 1 correct response and three that are incorrect. If at random, a student circles an answer for each question:
a) What is the probability that she will get the first three and last two right?
1/4 x 1/4 x 1/4 x 3/4 x 3/4 x 3/4 x 3/4 x 3/4 x 1/4 x 1/4
=
b) What is the probabilty that she will get any 5 right?
P(x=5) = 10C5*(1/4)^5*(3/4)^5
= binompdf(10,1/4,5) = 0.0584..
Cheers,
Stan H.
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