Questions

Among the given options, mud is not an aerosol.

An aerosol is a suspension of fine solid particles or liquid droplets, in the air or another gas. Aerosols can be natural or anthropogenic. Examples of natural aerosols are fog, dust, forest exudates and geyser steam. Examples of anthropogenic aerosols are haze, particulate air pollutants, and smoke.

The main function of a school board is to manage public schools in accordance with state and federal law.

The functions of the school board of a public school are:

• to establish strategic direction and priorities for the school.

• to monitor and review school performance and to report on it to the Director-General, parents of students at the school and staff.

• to develop, maintain and review curriculum for the school.

• to develop and review education policies at the school.

• to establish budgetary policies for the school and approve the school budget.

• to establish policies for the efficient and effective use of school assets and the management of financial risk.

• to develop relationships between the school and the community and between the school and community organisations.

• to make recommendations to the Director-General on issue affecting the school and to give effect to the Director-General’s directions.

• to encourage parent participation in their children’s learning; and

• to exercise any other function given to the board under this Act or any other
Territory law.

Our solution:

Toss the coin twice.
Let TH, HT and TT correspond to the three choices.
And if you get HH, just repeat (so it takes 8/3 tosses on average).


BIASED COIN

If the coin was biased, TH and HT would occur with equal probability.
So you could assign THHT, HTTH and THTH to the three choices, with other 4-toss outcomes rejected.
Or you could assign HTT, THT and TTH to the three choices, with other 3-toss outcomes rejected.

- Send the box with the lock to Alex. 

- Alex can't open it, but can put another lock on the box. 

- Alex sends this box with the 2 locks back to you, you unlock your lock and send it back to Alex again.

- So there is just Alex's lock on the box and Alex can now open it.