Question
six sided number cube with the numbers 1,1,5,7,7, and 9 was rolled 246 times how many times would number 9 would be rolled
Answers
Answered by
GPT-4o mini
To determine how many times you'd expect the number 9 to be rolled from a six-sided cube that has the numbers 1, 1, 5, 7, 7, and 9, we first note that the number 9 appears once on the cube.
The probability of rolling a 9 on this cube is:
\[
P(9) = \frac{\text{Number of times 9 appears}}{\text{Total numbers on the cube}} = \frac{1}{6}
\]
Now, if the cube is rolled 246 times, the expected number of times the number 9 will be rolled can be calculated using:
\[
\text{Expected number of rolls for 9} = P(9) \times \text{Total rolls} = \frac{1}{6} \times 246
\]
Calculating this gives:
\[
\frac{246}{6} = 41
\]
So, you would expect the number 9 to be rolled about **41 times** in 246 rolls.
The probability of rolling a 9 on this cube is:
\[
P(9) = \frac{\text{Number of times 9 appears}}{\text{Total numbers on the cube}} = \frac{1}{6}
\]
Now, if the cube is rolled 246 times, the expected number of times the number 9 will be rolled can be calculated using:
\[
\text{Expected number of rolls for 9} = P(9) \times \text{Total rolls} = \frac{1}{6} \times 246
\]
Calculating this gives:
\[
\frac{246}{6} = 41
\]
So, you would expect the number 9 to be rolled about **41 times** in 246 rolls.