A sidewalk shop sells ice cream to a local town. The shop is known for their homemade waffle cones, and 60% of customers order one (Event A). 12% of the customers order dairy free ice cream (Event B), and 50% pay with a credit or debit card (Event C). We also know that 86% of customers who pay with a card order a waffle cone, 16% of customers pay with a card order dairy free ice cream, and only 12% of customers who pay with a card don't order either a homemade waffle cone or dairy free ice cream. 70% of customers who order both a waffle cone and dairy free ice cream pay with a card, and only 1% of customers order dairy free ice cream and don't order a waffle cone or pay with a card. Last, we know that 7% of all customers meet all three criteria (A B C) and 68% meet at least one of the three criteria. Hint: This is a lot of information, so draw a figure!

(a) What is the probability that the next customer orders a homemade waffle cone and pays with a card?

(b) What is the probability that the next customer orders dairy free ice cream, but does not pay with a card?

(c) If we know the customer pays with a card, what is the probability that the next customer orders dairy free ice cream in a homemade waffle cone?