Question

Mia is rolling a pair of [6]-sided dice. [p(n)] models the probability of the event that the sum of the dice is [n]. Which number type is more appropriate for the domain of [p]? Choose 1 answer:

1) Natural numbers
2) Integers
3) Rational numbers
4) Real numbers

Answer 1

The domain of p(n) is the set of all possible sums of two six-sided dice, ranging from 2 to 12; hence, the appropriate number type for the domain of p(n) is natural numbers. The correct choice is (1) Natural numbers.

Step-by-step explanation:

The question asks which number type is more appropriate for the domain of p(n), the probability function that models the chance of rolling a sum of n with a pair of six-sided dice.

The domain of p(n) is the set of all possible sums that can be obtained by rolling two dice.

Since the least sum possible is 2 (1+1) and the greatest is 12 (6+6), and since the dice can only show natural numbers, the appropriate domain for p(n) will also be natural numbers.

Therefore, the correct choice is (1) Natural numbers.