Suppose that an ice cream shop offers a special deal one day: The price of a small ice cream cone will be determined by rolling a pair of ordinary, six-sided dice.The price (in cents) will be the larger number followed by the equal or smaller number.For example, if the first die shows a three and the second die a six, the piece of a cone will be 63 cents.If two fives are rolled, then the price is 55 cents. How many different prices are possible in the sample space for this situation?

Question

Quizplus · Accepted Answer

There are 6 possibilities for the first die and 6 for the second, but since order matters (the larger number comes first), and identical rolls result in the same price, we have to consider both unique combinations and repetitions. For each of the 6 numbers, there can be a combination with itself and with each of the numbers larger than it, leading to a total of 21 unique prices (1+2+3+4+5+6).

Suppose That an Ice Cream Shop Offers a Special Deal