Step-by-step explanation:
The probability of winning $ 7 = 0.1
The probability of losing $ 1 = 0.9
The expected value of this game = total probability of winning and losing
= 0.1 (7) + 0.9 (-1)
[ -1 indicates losing and so negative sign ]
= 0.7 - 0.9
= - 0.2
= $ 0.2