Question
Listen
Question
The table shows the outcome of rolling a number cube (labeled
1
through
6)
200
times.
Number
Outcome
1 28
2 30
3 35
4 33
5 38
6 36
Based on the outcomes, enter the number of times the cube is expected to land on 1 if it is rolled 50 times.
Enter your answer as a number, like this: 42
Answers
GPT-4o mini
To find the expected number of times the cube is expected to land on 1 when rolled 50 times, we first need to find the probability of rolling a 1 based on the given outcomes.
The total number of rolls is 200, and the outcome for rolling a 1 is 28 times.
The probability of rolling a 1 is:
\[
P(1) = \frac{\text{Number of times 1 was rolled}}{\text{Total number of rolls}} = \frac{28}{200} = 0.14
\]
Now, to find the expected number of times the cube lands on 1 when rolled 50 times, we multiply this probability by the number of rolls (50):
\[
\text{Expected number of times rolling a 1} = P(1) \times 50 = 0.14 \times 50 = 7
\]
Thus, the expected number of times the cube is expected to land on 1 in 50 rolls is **7**.
The total number of rolls is 200, and the outcome for rolling a 1 is 28 times.
The probability of rolling a 1 is:
\[
P(1) = \frac{\text{Number of times 1 was rolled}}{\text{Total number of rolls}} = \frac{28}{200} = 0.14
\]
Now, to find the expected number of times the cube lands on 1 when rolled 50 times, we multiply this probability by the number of rolls (50):
\[
\text{Expected number of times rolling a 1} = P(1) \times 50 = 0.14 \times 50 = 7
\]
Thus, the expected number of times the cube is expected to land on 1 in 50 rolls is **7**.