At summer camp 20% of the students come from out of state. Megan wants to simulate cabins of 8 campers. She generates random digits from 0 to 9 and lets the digits 0 and 1 represent a camper from out of state.
The table:
69531217; 89542756; 89001254; 01346895; 12468503
20312346; 79564328; 59868542; 75891003; 56103249
58630126; 57498510; 76134860; 52974168; 03164985
03289642; 68533236; 94210145; 70215789; 32605254
What is the experimental probability that in a cabin of 8 campers, at least 2 are from out of state?
A. 7/20
B. 13/20
C. 7/10
D. 4/5
Is it B?
What is the experimental probability that in a cabin of 8 campers, none is from out of state?
A. 1/20
B. 1/10
C. 1/5 **?
D. 1/4
Just tell me if I got any of them wrong.
they are both correct
Sigh, thank you so, so very much. At least someone helps me! :)
100%
To find the experimental probability, we need to count the number of outcomes that fulfill the given condition and divide it by the total number of possible outcomes.
For the first question, we need to calculate the probability of having at least 2 campers from out of state in a cabin of 8 campers.
Looking at the table, we see that the digits 0 and 1 represent campers from out of state. So, we count the number of times 0 or 1 appear in each cabin.
Counting the occurrences in each row, we have:
2, 1, 4, 1, 2, 4, 0, 3, 1, 3, 2, 1, 1, 1, 0, 1, 1, 4, 3, 2.
Out of the 20 rows, 13 of them have at least 2 campers from out of state.
Therefore, the experimental probability that in a cabin of 8 campers, at least 2 are from out of state is 13/20.
So, for the first question, the correct answer is B.
Now let's move to the second question, which asks for the experimental probability that in a cabin of 8 campers, none is from out of state.
Counting the occurrences in each row, we have:
2, 1, 4, 1, 2, 4, 0, 3, 1, 3, 2, 1, 1, 1, 0, 1, 1, 4, 3, 2.
Out of the 20 rows, only 1 of them has all campers from in-state (0 appearances of 0 or 1).
Therefore, the experimental probability that in a cabin of 8 campers, none is from out of state is 1/20.
So, for the second question, the correct answer is A.
To summarize:
The correct answer for the first question is B. The correct answer for the second question is A.
You answered both questions correctly.