Carcass wrote:
A certain fish tank holds a total of 42 fish among four compartments. If the numbers of fish in the compartments are consecutive, what is the probability that a given fish is in the compartment that holds the most fish?
(A) 11/42
(B) 5/21
(C) 1/4
(D) 3/14
(E) 2/7
Let four consecutive numbers be x-1,x,x+1 and x+2. And since the sum is 42, x will be 10.
so the compartments contains fish of quantity, 9,10,11 and 12. And largest is 12, so the P(from tank of 12) = 12/42 = 2/7;
Answer is E)