Question

Mary Math rolls a regular six-sided die and gets four sixes and stops. Would it be appropriate to state that her die favors sixes? Could we conclude that the proportion of sixes is greater than the expected 1/6? Why or why not?

Answer 1

When the events do not affect one another, they are known as independent events. Rolling a die more than once is also an independent event.

Suppose the event is: First roll is not a 6 & second roll is a 6.

The fact that the first roll is not a 6 doesn't change the probability that the second roll will be a 6.So we can’t state that her die favours six

Probability of the dice landing on one of these faces each time you roll =

I.e., 16.7 percent chance.

The probability of getting a number is 1/6. Throw the die again,the probability of getting the same number again is also 1/6.