If you roll a fair die 7 times find the probability that you

Solution

When a fair die is rolled, there are equal probability to get any side i.e. from 1 to 6.

So here as per the question, the outcome must be only 6 (never a number less than 6.)

So the probability per roll is 1/6. ( 1 out of six possibilities)

And the die is rolled 7 times. So the probability keeps multiplying. Hence it would be 1/6*1/6...*1/6(7times)

And hence the probability would be (1/6)^7.