A six-sided fair die is rolled 4 times in a row. The probability of getting a 4 only on the last trial is?
(5 /6)3 * ( 1/6) = 5^3 / 6^4. You can use a calculator or your computer to find out that the probability is 125/1296.
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Answer with explanation:
When a die is rolled once, total favorable outcome ={1,2,3,4,5,6}
Probability of getting 4 on the die, when the die is rolled once
\(=\frac{1}{6}\)
Probability of not getting 4, when die is rolled once
\(=\frac{5}{6}\)
Now, when the die is Rolled 4 times in a row,probability of getting a 4 only on the last trial is
\(=\frac{5}{6}\times \frac{5}{6} \times\frac{5}{6}\times\frac{1}{6}\\\\=\frac{125}{1296}\)