If a dice is rolled 600 times how many 6s would you expect?
To determine the expected number of sixes when rolling a fair six-sided dice 600 times, we need to consider the probability of getting a six on a single roll.
A fair six-sided dice has six possible outcomes, with each outcome having an equal probability of 1/6. Therefore, the probability of rolling a six on a single roll is 1/6.
To find the expected number of sixes, we multiply the probability of rolling a six by the total number of rolls:
Expected number of sixes = Probability of getting a six × Total number of rolls
Probability of getting a six = 1/6
Total number of rolls = 600
Expected number of sixes = (1/6) × 600
Expected number of sixes = 100
Therefore, if a dice is rolled 600 times, we would expect to see approximately 100 sixes.