the faces on a fair number cube are labeled 1,2,3,4,5, and 6. Steven rolls the number cube 48 times. how many times should Steven expect to roll a 3?
1 out of 6 times = 1/6
1/6 * 48 = 48/6 = _____
To find out how many times Steven should expect to roll a 3 when rolling the fair number cube 48 times, we need to calculate the probability of rolling a 3 and then multiply it by the total number of rolls.
The number cube has six faces, and only one of them is labeled 3. So the probability of rolling a 3 on one roll is 1/6.
To find the expected number of times, we multiply the probability by the total number of rolls:
Expected number of times = Probability of rolling a 3 × Total number of rolls
Expected number of times = (1/6) × 48
Now let's calculate:
Expected number of times = 8
Therefore, Steven should expect to roll a 3 approximately 8 times when rolling the fair number cube 48 times.