Dice Roller vs Coin Flip Probability Distribution vs Binary Outcome — Two Random Tools for Different Types of Decisions

You need to decide between two restaurants. You flip a coin. Heads = Restaurant A. Tails = Restaurant B. The coin lands on heads. You go to Restaurant A. The decision was binary. The tool was a coin flip.

Now you are designing a game mechanic. You need to determine how much damage a sword does — with a predictable average and rare extreme outcomes. You roll dice. 2d6 produces damage from 2-12, with 7 being most common and 2 and 12 being rare. The decision was probabilistic. The tool was dice.

Both are random. Both help make decisions. But a coin flip is for binary choices — yes/no, A/B. Dice are for multi-outcome choices with probability distributions. Use the coin flip for yes/no. Use the dice roller for distributions.