287,194 views
22 votes
22 votes
HELPPP!!!!

There is a 20% chance that a particular volcano will erupt during any given decade. A random number generator generated 10 sets of random numbers from 1 to 5 as shown. The number 1 represents the volcano erupting. Find the experimental probability that the volcano will erupt in 1 or 2 in the next 5 decades.
Trial Numbers generated
1 3,1,2,4,2
2 3,2,2,4,5
3 1,3,3,2,5
4 5,3,4,5,4
5 5,5,3,2,4
6 2,3,3,4,2
7 1,2,4,1,4
8 1,3,2,1,5
9 1,2,4,1,4
10 5,5,3,2,4
Answer choices ANSWER ISN'T 45%
A:35%
B:40%
C:45%
D:50%

User Jonathan Lyon
by
2.8k points

1 Answer

28 votes
28 votes

Answer:

Explanation:

To find the experimental probability that the volcano will erupt in 1 or 2 in the next 5 decades, we need to analyze the data provided in the sets of random numbers generated.

From the given sets of random numbers, we can see that the number 1 represents the volcano erupting. We need to count the number of times the number 1 appears in the first or second position (representing the first or second decade) in each set.

Let's count the occurrences:

1. 3, 1, 2, 4, 2 (1 appears in the second position)

2. 3, 2, 2, 4, 5 (1 does not appear in the first or second position)

3. 1, 3, 3, 2, 5 (1 appears in the first position)

4. 5, 3, 4, 5, 4 (1 does not appear in the first or second position)

5. 5, 5, 3, 2, 4 (1 appears in the fourth position)

6. 2, 3, 3, 4, 2 (1 does not appear in the first or second position)

7. 1, 2, 4, 1, 4 (1 appears in the first and fourth positions)

8. 1, 3, 2, 1, 5 (1 appears in the first, third, and fourth positions)

9. 1, 2, 4, 1, 4 (1 appears in the first and fourth positions)

10. 5, 5, 3, 2, 4 (1 appears in the fourth position)

Out of the 10 sets, there are 6 sets where the volcano erupts in the first or second decade. Therefore, the experimental probability is 6 out of 10, which can be expressed as a fraction 6/10 or as a percentage 60%.

Based on the given answer choices, the closest option is D: 50%. However, the correct experimental probability is 60%.

User IgorAlves
by
2.3k points