Question

you roll a 6 - sided die.
what is p(1 or even)?
write your answer as a percentage rounded to the nearest tenth.
%

Explanation:

Step1: Determine total outcomes

A 6 - sided die has 6 possible outcomes: \(n = 6\) (the outcomes are 1, 2, 3, 4, 5, 6).

Step2: Determine favorable outcomes for \(1\) or even

The set of favorable outcomes for \(1\) or even is \(\{1,2,4,6\}\). So \(m=4\).

Step3: Calculate probability as a fraction

The probability formula is \(P=\frac{m}{n}\). Here, \(P=\frac{4}{6}=\frac{2}{3}\).

Step4: Convert to percentage

To convert \(\frac{2}{3}\) to a percentage, use the formula \(P(\%)=\frac{2}{3}\times100\). \(\frac{2}{3}\times100=\frac{200}{3}\approx66.7\)

Answer:

\(66.7\)