A die is rolled n times. What does the law of large numbers suggestAnswer is The probability of rolling a 3 in n outcomes becomes closer to 16 as the value of n increases.

The answer is: the probability of rolling a 3 in n outcomes becomes closer to 1/6 (1 divided by 6) as the value of n increases.

Explanation:

The law of large numbers suggest that as the number of essays increase the average gets closer to the theoretical value.

Here the theoretical probabiliity is:

  number of favorable outcomes
------------------------------------------------
number of total poossible outcomes

The favorable outcomes is 1 (the number 3)

The possible outcomes are 6 (1, 2, 3, 4, 5, 6)

So, the theoretical probability is 1 / 6.

Therefore, the large numbers suggest thet the probability of rolling a 3 will be closer to 1/6 as the number of rolls increase.