If you were to roll a fair number cube 120 times, how many times would you expect to roll a 4 based on theoretical probability
(1/6)(120)
To determine the expected number of times you would roll a 4 when rolling a fair number cube 120 times, you need to consider the theoretical probability of rolling a 4 on one roll.
A fair number cube has six faces labeled with the numbers 1 to 6. Since all the faces are equally likely to occur, the probability of rolling a 4 on one roll is 1/6.
To calculate the expected number, you can multiply the probability of rolling a 4 on one roll by the total number of rolls.
Expected number of times = Probability of rolling a 4 × Total number of rolls
Expected number of times = (1/6) × 120
Solving this equation:
Expected number of times = 20
Therefore, based on theoretical probability, you would expect to roll a 4 approximately 20 times when rolling a fair number cube 120 times.