Please HELP!!! A student guesses the answers to all 10 questions on a true/false test. What is the probability that the student gets 6 questions correct? MULTIPLE CHOICE

Question

anonymous · Answer

a. 207/531
b. 24/106
c. 105/512
d. 102/449

amistre64 · Answer

what have you considered?

amistre64 · Answer

id use the binomial distribution such that for a given number of outcomes, k, from a given set, n,  the results are:$$\binom{n}{k}p^k(1-p)^{n-k}$$

anonymous · Answer

What is the n over k thing?

amistre64 · Answer

its a binomial notation.  it means n choose k

amistre64 · Answer

in factorial notation its:$$\frac{n!}{k!(n-k)!}$$

anonymous · Answer

Ok and what is the p

amistre64 · Answer

the probabilty of picking a correct solution.

anonymous · Answer

Ok I know what to do now.

amistre64 · Answer

the math ....

amistre64 · Answer

what is your probabilty of picking a correct answer? out of 2 choices?

amistre64 · Answer

lol,  i thought you asked 'what do i do now'  :)

anonymous · Answer

the probability is 1/2 ... and ya haha

amistre64 · Answer

$$\binom{10}{6}(1/2)^6(1/2)^{4}=\binom{10}{4}(.5)^{10}$$
10.9.8.7
-------
 4.3.2.1


10.9.7
------   = 10*3*7 = 210  for the binomial part
   3.1

anonymous · Answer

Is the answer 105/512 (c) @amistre64

amistre64 · Answer

i get 105/512 as well

anonymous · Answer

ok thank you

amistre64 · Answer

youre welcome