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Identify the event where the first coin shows heads and the second coin shows tails and use independence to find its probability ('AND' rule)
\(P(H_{1}\text{ and }T_{2})=0.6\times0.4\)

Identify the event where the first coin shows tails and the second coin shows heads and use independence to find its probability. ('AND' rule)
\(P(T_{1}\text{ and }H_{2})=0.4\times0.6\)

Since the two scenarios are mutually exclusive, add their probabilities to obtain the total probability of one head and one tail ('OR' rule).
\(P(\text{one head and one tail})=0.6\times0.4+0.4\times0.6=0.24+0.24=0.48\)

Answer E
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