The prior probabilities that it will be fine or raining at 12.00 noon next Sunday when a parade is due to take place, are respectively 0.7 and 0.3. Two days before the parade, the local weather station will provide an unbiased forecast of either fine or rain. Given that its forecasts have a 90% probability of being correct, the probability that it will forecast fine weather:

Select one:

a. cannot be determined based on the information given

b. is equal to 0.70

c. is equal to 0.66

d. is equal to 0.63