Free Ice Cream (Intuition)
Now suppose that I offer to pay for your ice cream cone if the price is an odd number. Recall, the owner of the ice cream shop offers a random price determined as follows: You roll a pair of fair, six-sided dice, and the price is the larger number followed by the smaller number (in cents).
Do you think it’s more likely that I will pay for your ice cream cone, or that I will not pay for your ice cream cone?
Make a guess for the probability that I will pay for your ice cream cone. This is a "what-does-your-gut-tell-you?" type of guess.