OK so in a certain video game you battle against monsters. When you're getting attacked, you have a 33% chance of blocking the attack with a shield. If you fail to block the attack, you then have a 44% chance to dodge the attack instead. (Blocking and dodging both do the same thing: they allow you to avoid damage completely). My question is, what is the probability of avoiding damage? In other words, what is the chance that'll I'll be able to either block or dodge an incoming attack? I tried on my own but I just can't wrap my head around this.

I tried to create some kind of formula for this but I ended up more confused. Take this in its simplest form: the chance of flipping a heads either on the first try or on the second try. you would do successes/total outcomes = 2/3 = 66.66% chance. But if you do the same math with a dice and rolling evens or odds you get about 57% even though the odds are the same 50/50 for each try as the coin flip.

I tried to create some kind of formula for this but I ended up more confused. Take this in its simplest form: the chance of flipping a heads either on the first try or on the second try. you would do successes/total outcomes = 2/3 = 66.66% chance. But if you do the same math with a dice and rolling evens or odds you get about 57% even though the odds are the same 50/50 for each try as the coin flip.

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