Playing the first game will get you more points on average
Game 1: Coins
chance of getting a specific sequence = 1/2 x 1/2 x 1/2 x 1/2 = 1/16
possible 2 heads 2 tail combinations =
HHTT
HTHT
HTTH
TTHH
THTH
THHT
= 6 combinations
6 x 1/16 = 3/8
so chance of getting 2H and 2T is 3/8
3/8 of 100 = 37.5 wins
decimal wins arent possible, so it is 75 winds per 200 rounds
1 win is 3 points, 75 x 3 = 225
so on average, you will get 225 points every 200 rounds
Game 2: Spinner, lower chances
chance of getting a 6 = 1/6
we get 3 spins per round, in other words, for 100 rounds we have 300 spins
300 x 1/6 = 50 sixes will be rolled in 100 rounds
one six gets 2 points
50 x 2 = 100
so every 100 rounds is 100 points
double it for easy comparison:
Spinner = 200 points per 200 rounds
Coin flip = 225 points per 200 rounds