if you roll a number cube 54 times about how many times do you expect to roll a number less than 5?
7th grade Math 'Use Theoretical Probability and Proportional Reasoning To Make Predictions"
what is the theoretical probability that a number less then 5 will be rolled in a number cube
To determine the expected number of times you would expect to roll a number less than 5 on a number cube, we can use the theoretical probability.
A standard number cube has 6 equally likely outcomes, which are the numbers 1 to 6. Out of these 6 outcomes, numbers less than 5 are 1, 2, 3, and 4. Therefore, there is a probability of 4/6 or 2/3 of rolling a number less than 5 in a single roll.
To find the expected number of times you would expect to roll a number less than 5 in 54 rolls, you can multiply the probability of rolling a number less than 5 in a single roll by the total number of rolls:
Expected number = probability of success * number of trials
Expected number = (2/3) * 54
Expected number ≈ 36
Therefore, you would expect to roll a number less than 5 approximately 36 times out of 54 rolls.
To calculate the expected number of times you would roll a number less than 5 on a number cube, you need to consider the probability of rolling a number less than 5 on each roll.
A standard number cube has 6 possible outcomes: 1, 2, 3, 4, 5, or 6. Out of these outcomes, 4 are less than 5 (1, 2, 3, and 4).
Therefore, the probability of rolling a number less than 5 on any given roll is 4/6 or 2/3.
To calculate the expected number of times, you can multiply the probability by the total number of rolls. In this case, you rolled the number cube 54 times.
Expected number of times = probability of success (rolling a number less than 5) × total number of trials (54 rolls)
Expected number of times = (2/3) × 54
Expected number of times ≈ 36
Therefore, you would expect to roll a number less than 5 approximately 36 times when rolling a number cube 54 times.
So you don't want a 5 or a 6.
In your previous question like this, you found that in 54 tries each number from 1 to 6 will likely come up 9 times each
Then in your 54 tries, if the 5 or 6 can come up 18 times, what are you left with for the other possibility?