Question

Adsila and Adahy have to decide who will take out the garbage. Adahy suggests they toss two coins. He says that if at least one head comes up, Adsila takes out the garbage. If no heads come up, Adahy takes out the garbage. Should Adsila agree to Adahy's proposal? Explain why or why not.​

Answer 1

Explanation:

Adsila should not agree to Adahy's proposal.

If two coins are tossed, there are four possible outcomes: HH, HT, TH, and TT (where H represents heads and T represents tails).

According to Adahy's proposal, Adsila will only take out the garbage if at least one head comes up. This means that she will have to take out the garbage in the HT, TH, and HH scenarios.

However, in the TT scenario, Adahy would have to take out the garbage.

Since there are two scenarios where Adsila would have to take out the garbage and only one where Adahy would have to take out the garbage, the proposal is not fair.