Answer:
Option (f). None of the above.
Step-by-step explanation:
As it has been in the question that in a box number of green and blue marbles are 8 and 4 respectively.
Since marbles are selected at once with no replacement, we have to find the expected numbers of green marbles among the selected ones.
Total numbers of marbles = green + blue = 8 + 4 = 12
P (green) for selection of first marble = 8/12 = 2/3
Now for the selection of second marble which should be green will be
P'(green) = 7/11 ( here number of green marbles remaining = 7 and total green plus blue marbles is = 7 + 4 = 11
Now for these two individual events probability for both the marbles of being green will be = P(green) × P'(green) = 2/3 × 7/11 = 14/33
Therefore answer is Option (f) None of the above.
