SOLUTION: Rolling a regular die - Number: 1 (number of times rolled: 6) 2 (number of times rolled: 4) 3 (number of times rolled: 1)

Question 1161573: Rolling a regular die -
Number:
1 (number of times rolled: 6)
2 (number of times rolled: 4)
3 (number of times rolled: 1)
4 (number of times rolled: 5)
5 (number of times rolled: 2)
6 (number of times rolled: ?)
Based on the histogram above,
1. How many sixes are rolled? 3 - is this correct?

2. What is the experimental probability P(2)? I got 4/6 - is this correct?

3. What is the experimental probability P(4)? 5/6 - is this correct?
Thank you

Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

It appears you are misunderstanding the given data....

A regular die was rolled multiple times. It came up 1 6 times, 2 4 times, 3 1 time, 4 5 times, 5 2 times, and 6 an unknown number of times.

None of the three questions can be answered with the given information. We either need to know the number of times a 6 came up, or we need to know the total number of times the die was rolled, so that we can determine the number of times a 6 came up.

1. If your answer of 3 is correct, then the total number of rolls was 6+4+1+5+2+3 = 21. Was that total number of rolls given, and you forgot to include that information in your post?

For 2 and 3, the experimental probability is the number of times a certain number came up, divided by the total number of rolls.

Assuming the total number of rolls was in fact 21...

2. P(2) = 4/21
3. P(4) = 5/21

----------------------------------------------------

The reader responded saying that the die was rolled 25 times.

So, since the number of rolls other than 6 is 18, the answer to question 1 is that a 6 was rolled 7 times.

And then the answers to questions 2 and 3 are 4/25 and 5/25 = 1/5.

RELATED QUESTIONS
a die is rolled 100 times. A 1 was rolled 14 times a 2 was rolled 20 times a 3 was rolled (answered by jim_thompson5910)

A regular die is rolled 5 times. What is the probability of getting a prime number from... (answered by greenestamps,ikleyn)

Suppose an experiment involves rolling a fair die 4500 times. Find the variance of the... (answered by robertb)

If a number cube is rolled two times, what is the probability of rolling a 1 both... (answered by jim_thompson5910)

a six sided die was rolled 12 times with these results: Roll- 1, 2, 3, 4, 5, 6 times-... (answered by greenestamps)

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these (answered by Edwin McCravy)

Suppose an experiment involves rolling a fair die 2592 times. Find the standard deviation (answered by robertb)

Suppose an experiment involves rolling a fair die 10368 times. Find the mean of the... (answered by robertb)

If a die is rolled 360 times, find the standard deviation for the number of 3s that will... (answered by stanbon)