162588

In game 1, the chance of getting 2 heads and 2 tails is (4 choose 2)/2^4 (number of possibilities). Therefore the expected value is 6/16 * 3(the payoff) = 18/16.

In game 2, the chance of rolling a 6 in one dice is 1/6. Therefore the expected value for 1 dice is 1/6 x 2 = 1/3. Since there are 3 dice, the expected value of 1 round is 1/3 * 3 = 1.

Therefore you would expect to get more points in game 1 as the expected value is higher (18/16 > 1).