Question

question arianna rolls a standard six - sided die, numbered from 1 to 6. which word or phrase describes the probability that she will roll a number between 1 and 6 (including 1 and 6)? answer impossible unlikely an equal chance or 50 - 50 certain

Explanation:

Step1: Analyze the probability of rolling a number between 1 and 6 (inclusive) on a standard six - sided die

When rolling a standard six - sided die, the sample space \(S=\{1,2,3,4,5,6\}\). The event \(E\) (rolling a number between 1 and 6 inclusive) is \(E = S\).
The probability formula is \(P(E)=\frac{n(E)}{n(S)}\), where \(n(E)\) is the number of elements in the event \(E\) and \(n(S)\) is the number of elements in the sample space. Here, \(n(E) = 6\) and \(n(S)=6\). So \(P(E)=\frac{6}{6}=1\).

Step2: Match the probability with the description

A probability of \(P = 1\) means that the event is certain to happen.

Answer:

certain