Q 2.41. - A First Course in Probability

Question

If a die is rolled 4 times, what is the probability that 6 comes up at least once? 

Step-by-Step Solution

Answer

The probability that 6 comes up at least once is 0.52.

Step 1. Given information.

Consider the given information,

A die is rolled 4 times.

Step 2. Explanation.

Find the probability when 6 comes up,

$\begin{array}{rcl}& & P(6 \mathrm{at} \mathrm{least} \mathrm{once})=1-P(6 \mathrm{never} \mathrm{shows} \mathrm{up})\\ & =& 1-{(5/6)}^4\\ & =& 1-625/1296\\ & =& 0.52\end{array}$