Question

you roll a fair 6 - sided die.
what is p(roll greater than 4)?
if necessary, round your answer to 2 decimal places

Explanation:

Step1: Determine total outcomes

A fair 6 - sided die has 6 possible outcomes: \(1,2,3,4,5,6\). So \(n(\text{total}) = 6\).

Step2: Determine favorable outcomes

Numbers greater than 4 on a 6 - sided die are 5 and 6. So \(n(\text{favorable})=2\).

Step3: Calculate probability

The probability formula is \(P(A)=\frac{n(\text{favorable})}{n(\text{total})}\). Substituting values, \(P(\text{roll}>4)=\frac{2}{6}=\frac{1}{3}\approx0.33\)

Answer:

\(0.33\)