<p>so on collegeboards online courses practice test 6 there is this math problem.</p>
<p>X blank, blank, X</p>
<p>The figure above represents four offices that will be assigned randomly to four employees, one employee per office. If Karen and Tina are two of the employees, what is the probability that each will be assigned an office indicated with an X?</p>
<p>(A)1/16
(B)1/12
(C)1/6
(D)1/4
(E)1/2</p>
<p>i thought that for the 1st room there is 1/4 probability and the second one is 1/3 and the the third as 1/2 and the last as 1
thus i multiplied 1/4 and 1 to get 1/4, but its not the answer
can someone help me</p>
<p>thank you</p>
<p>Logic Method:
How many chances does Karen have to get an office indicated with the letter X?
Think about it. Well how many offices are there? 4
How many are indicated with X? 2
That means she has a 50% chance or 1/2 chance.</p>
<p>Now remove one of the offices. How many chances does Tina have to get an office indicated with the letter X? Well there are now 3 offices. You have to imply or infer that Karen got one of the offices with the letter indicated X because in the question it asks “what is the probability that each will be assigned an office indicated with an X?”.</p>
<p>Karen has 1 in 3 chance or a 1/3 of a chance to get an office indicated with the letter X.</p>
<p>Now multiple 1/2 * 1/3 = 1/6</p>
<p>Math Method:
4! *!=factorial aka take the number, multiple by itself and any positive integer less than itself
4! = 4 * 3 * 2 1 = 24
24 is the total number of possibilities.
Ok how many possibilities are there?
Tina gets X on the left. Karen gets X on the right.
Karen gets X on the left. Tina gets X on the right.</p>
<p>Think you’re done? Think again because order of the other two employees matter.
Employee #3 in blank 1. Employee #4 in blank 2.
Employee #4 in blank 1. Employee #3 in blank 2.</p>
<p>2 * 2 = 4
4/24 = 1/6.</p>
<p>ah. thanks avidstudent:D</p>
<p>but you did mean on the math method that
Employee #3 in blank 2. Employee #4 in blank 3.
Employee #4 in blank 3. Employee #3 in blank 2.</p>
<p>because blank one and is taken, right?</p>
<p>thanks again</p>
<p>Sorry, I should have clarified blank 1 = X and blank 4 = X.
Yes, you are correct blank 1 is taken as is blank 4.</p>