Question

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

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Explanation:

Step1: Determine the sample space

A fair 6 - sided die has outcomes \(S=\{1,2,3,4,5,6\}\), so \(n(S) = 6\).

Step2: Determine the number of favorable outcomes

The event of rolling a number greater than 6, \(E=\varnothing\) (since the maximum outcome is 6), so \(n(E)=0\).

Step3: Calculate the probability

Using the formula \(P(E)=\frac{n(E)}{n(S)}\), we have \(P(\text{roll greater than }6)=\frac{0}{6}=0\).

Answer:

\(0\)