Question

question 6 of 10
suppose the following set of random numbers is being used to simulate the event of a basketball player making five free throws in a row. how should the numbers be rearranged?
860583 785814 010122 337198 621549 034076 796495 978078 433330 333153
a. 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153
b. 860583 785814 010122 337198 621549 034076 796495 978078 433330 333153
c. 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
d. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153

Explanation:

To simulate a basketball player making five free throws in a row, we need to group the random numbers into sets of three digits (since free throw simulation often uses three - digit numbers to represent outcomes like making or missing a free throw). Let's analyze each option:

Step 1: Analyze Option A

Option A groups the numbers in a non - consistent way. It does not follow the pattern of grouping into three - digit numbers. For example, "8378" is a four - digit number which is not a valid grouping for this type of simulation.

Step 2: Analyze Option B

Option B just repeats the original number sequence without any proper grouping. It does not break the numbers into the appropriate groups for simulating free throws.

Step 3: Analyze Option C

Option C also has an inconsistent grouping. The groupings like "37858" (a five - digit number) do not follow the three - digit grouping rule required for this simulation.

Step 4: Analyze Option D

Option D groups the numbers into three - digit groups: 860, 583, 785, 814, 010, 122, 337, 198, 621, 549, 034, 076, 796, 495, 978, 078, 433, 330, 333, 153. This is a consistent way of grouping the numbers into three - digit sequences which is appropriate for simulating the free - throw event.

Answer:

D. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153