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A six-sided fair die is rolled 4 times in a row. The probability of getting a 4 only on the last trials

P = 125/1296

Step-by-step explanation:

P = Number of ways of getting only 4 at the last trial / Total number of ways

Number of ways of getting only 4 at the last trial = 5 * 5 * 5 * 1 = 125

(for the first three trials, all but 4 is permissible (6 - 1 = 5 ways), and

for the last trial, only 4 is permissible (1 way)).

Total number of ways = 6 * 6 * 6 * 6 = 1296

P = 125/1296