A combination of losing strategies will result in a winning strategy if they are combined together.

1st Game:
You lose $1 every round. 2nd Game: Depending on the amount you have, you win$3 if it is an even number but lose $5 if it is an odd number. Let us start with$100 to play each game independently.

1st Game:
By the 100th round, you have lost all your money.

2nd Game:
1st round – $100 +$3 = $103 2nd round –$103 – $5 =$98
3rd round – $98 +$3 = $101 4th round –$101 – $5 =$96
5th round – $96 +$3 = $99 6th round –$99 – $5 =$94

Basically, you progressively lose money till you have lost all your money.

Combination of 1st & 2nd Game playing them alternately:
1st round (2nd game) – $103 +$3 = $106 2nd round (1st game) –$106 – $1 =$105
3rd round (2nd game) – $105 +$3 = $108 4th round (1st game) –$108 – $1 =$107
5th round (2nd game) – $107 +$3 = $110 6th round (1st game) –$110 – $1 =$109

As you can see, you progressively earn money (\$2 per 2 rounds).

Application:
In terms of investing, single investments with a negative long-term returns combined together will create a diversified portfolio with a positive long-term returns.

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