The rise of cultured pearls or pearl farms have made natural pearls are very rare and have limited pearl fishing. However, a significant number of natural pearls can still be found in the Australian Indian Ocean waters from wild oysters. Of the 5 kinds of pearls, the probability of encountering pink pearls in the wild is 0.05; white pearls is 0.41; purple pearls is 0.04; blue pearls is 0.27; and black pearls is 0.07. Calculate each likelihood of the following events.
a. The probability of not encountering a black pearl.
b. The probability of encountering a black pearl.
c. The probability of not encountering a purple pearl.