Right choice is (a) \(\frac{1}{2}\)
Explanation: A coin has two sides i.e. head and tail. When a coin is tossed, we can get either head or tail. The likelihood of getting either head or tail is equal. We want to head in one coin and tail in other coin. The four possible outcomes are HH, TH, HT, TT. Hence the probability of getting different outcomes on both coins is \(\frac{1}{2}\).