If you rolled a dice 96 times, how many times would you expect to roll a number less than 3?
2/6 of the numbers are less than 6, so ...
sorry - less than 3.
To find out how many times you would expect to roll a number less than 3 when rolling a dice 96 times, we need to determine the probability of rolling a number less than 3 on a single roll and then multiply it by the number of rolls.
A standard six-sided dice has the numbers 1, 2, 3, 4, 5, and 6. In this case, we need to calculate the probability of rolling a number less than 3, which means rolling a 1 or a 2.
Out of the six possible outcomes, two of them are less than 3, so the probability of rolling a number less than 3 on a single roll is 2/6 or 1/3.
To find the expected number of times of rolling a number less than 3 when rolling a dice 96 times, we multiply the probability of rolling less than 3 on a single roll by the number of rolls.
Expected number = Probability of rolling less than 3 on a single roll * Number of rolls
= (1/3) * 96
= 32
Therefore, you would expect to roll a number less than 3 approximately 32 times when rolling a dice 96 times.