If two fair coins are tossed, what is the probability of getting two heads?
Answers
What is the probability of getting two heads when 2 coins are flipped together? Would it matter if the coins are flipped one after the other rather than together?
The answer is ... it depends.
Consider if the coins are distinguishable. Are you flipping the coins one-by-one? Do they have different dates, sizes, or colors? If so, then H on the first/older/shiner coin and T on the other is different than T and H respectively. In this case, the probability of each case {HH, HT, TH, TT} is 1/4.
However, are you taking both coins and tossing them at once? Are both coins—I imagine 2 newly-minted pennies—similar enough that you are willing to consider them identical? Then there is no difference between HT and TH. However, the probability of getting any of the three outcomes {HH, TT, HT/TH} are not the same. The probability of the mixed result is 1/2, twice that if the others.