If you roll a standard number cube 50 times, how many times do you expect the cube to show a six?
1/6 * 50 = ____
To determine the expected number of times a standard number cube would show a six when rolled 50 times, we can use the probability of rolling a six on a single roll.
A standard number cube has 6 sides, and only one side shows a six. Therefore, the probability of rolling a six on any single roll is 1/6.
To calculate the expected number of times a cube would show a six, we multiply the probability of rolling a six by the total number of rolls.
Expected number = Probability × Total number of rolls
Expected number = (1/6) × 50
Expected number = 50/6
Expected number ≈ 8.33
Therefore, you would expect the cube to show a six approximately 8.33 times when rolled 50 times.
To find out how many times you can expect the cube to show a six when you roll it 50 times, you need to determine the probability of rolling a six on a single roll.
A standard number cube has 6 equally likely outcomes (numbers 1 to 6). Each outcome has a probability of 1/6 since there are 6 possible outcomes. So, the probability of rolling a six is 1/6.
Now, to calculate the expected number of times the cube will show a six, you multiply the probability of rolling a six by the number of times you roll the cube. In this case, 1/6 (probability of rolling a six) multiplied by 50 (number of rolls):
Expected number of times = (1/6) x 50
Expected number of times = 8.33
Therefore, based on probability, you can expect the cube to show a six approximately 8.33 times when you roll it 50 times.