Question

Two friends worked together on an entry for a poetry contest and won; however, there is only one prize and it cannot be split. Some methods ofdetermining who receives the prize are given below.Select all the fair methods for determining who receives the prize.

Answer 1

The fair options are; C,D and E

Step-by-step explanation

A) Asking a random friend to chose is not fair enough because this method depends solely on the random picker. The picker could have personal preference for one of his friends, and might also pick based on height, beauty, weight. etc.

B)This method is not fair because it then depends solely on who can throw the farthest which in turn depends on the physical ability of the thrower.

C)This method is fair since both names are placed in equal amount in the hat. The probability of picking any one of the names is equal. the probability is 1/2 which is fair enough.

D) Asking a stranger to flip a coin is also fair. A coin has two sides (H and T)

The probability of picking any one of the names is also 1/2, which is fair.

E) Rolling a die, a die has 6 sides with an equal number of sides with equal number of even (2,4,6 ) and odd numbers (1,3,5). Hence, the probability of rolling an even or odd number is;

`(3)/(6)=(1)/(2)`