Safety Products

What is the highest total percentage?

My friend and I are using 2 safety products to avoid getting injured.
One has a 98.5% chance of safety.
One has a 98% chance.
If we combine them, what would be the total percent chance
closest to 100 that would ensure our safety?

You won't get the probability by averaging them. Independent probabilities multiply. Your "chance of safety" (i.e. the chance that nothing will go wrong with either of them) will be

(0.985)(0.98) = 0.9653 = 96.53% ~ 97%

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