MHB Possibly a Combination Problem

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To maximize the chances of defeating three out of four dragons A, B, C, and D, the optimal strategy is to avoid fighting dragon A, which has the lowest success rate of 0.4. The remaining dragons B, C, and D have higher probabilities of 0.6, 0.8, and 0.9, respectively. The best approach is to fight dragons B, C, and D in any order, resulting in a combined probability of 0.432 for success. It is essential to prioritize the dragons with the highest success rates for the second and third fights. This strategy effectively increases the likelihood of being with the true love.
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You have to kill three of four dragons A, B, C and D dragons in a row before you get to be with your true love (TL). The chances that you kill them are respectively 0.4, 0.6, 0.8 and 0.9. In what order should you fight them so as to maximize your chances of being with TL?

Hints on here at a starting strategy?
 
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Since you only need to kill three of the four dragons, the obvious strategy is to not fight the dragon where you only have a 0.4 chance of winning. The other three can be fought in any order giving you a (0.6)(0.8)(0.9)= 0.432 probability of winning.
 
To defeat 3 dragons in a row in 4 fights, we definitely need to defeat the 2nd and the 3rd. So we should pick the highest chances for those.
 
I have been insisting to my statistics students that for probabilities, the rule is the number of significant figures is the number of digits past the leading zeros or leading nines. For example to give 4 significant figures for a probability: 0.000001234 and 0.99999991234 are the correct number of decimal places. That way the complementary probability can also be given to the same significant figures ( 0.999998766 and 0.00000008766 respectively). More generally if you have a value that...

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