Final Answer:
The probability that it will not rain tomorrow in Hilton Head is 55% (option b).
Step-by-step explanation:
To find the probability that it will not rain, subtract the given probability of rain from 100%. In this case, 100% - 45% = 55%. Therefore, the probability that it will not rain tomorrow in Hilton Head is 55%, making option b. 55% the correct answer (option b).
The calculation is based on the complementary probability rule, which states that the probability of an event A occurring plus the probability of A not occurring equals 100%. In this scenario, event A is rain, and its complement is no rain. The TV weather forecaster's announcement of a 45% chance of rain implies a 55% chance of no rain. This complementary relationship allows for a quick and accurate determination of the probability of the opposite event.
In conclusion, the probability that it will not rain tomorrow in Hilton Head is found by subtracting the probability of rain from 100%, resulting in a probability of 55%. This approach aligns with the complementary probability rule and provides a straightforward way to calculate the likelihood of the complementary event based on the information given by the weather forecaster.