If 1,500 underclassmen each play a $10 game of chance and the expected earnings for the senior class is calculated, what is that amount to the nearest hundred dollars?

To find the expected earnings for the senior class from the underclassmen playing the game, we first calculate the total amount of money wagered by the underclassmen. Each of the 1,500 students plays a game costing $10, so the total money spent by all the underclassmen is:

1,500 students * $10 per game = $15,000.

The expected earnings for any game of chance is determined by the amount that the house retains, which is typically a portion of the total money wagered. In many games of chance, the house (in this case, the senior class) earns a percentage of the total revenue from the games.

If we assume that the senior class retains a certain rate from this total wagered amount, we would apply that percentage to the total. For example, if the seniors keep 25% of the $15,000, their expected earnings would be:

0.25 * $15,000 = $3,750.

When rounding to the nearest hundred dollars, this figure would be approximately $3,800. However, if the scenario assumed a different house edge, this percentage might shift.

Considering the options provided, $3,900 is the closest and most reasonable estimate given