Competition problem — Combinatorics

Library / /77 of 520

Combinatorics Difficulty 2.8 Junior Find the answer

During the summer vacation, a shopping mall received a new batch of 30 branded televisions. To test the safety coefficient of these televisions, they were numbered from 01 to 30. Using the random number table provided, 6 televisions will be selected for testing. The selection method starts from the first row, fourth column of the random number table, and reads from left to right. What is the number of the 6th selected television?

Attached table:
7816 6572 0802 6314 0702 4369 9728 0198
3204 9234 4935 8200 3623 4869 6938 7481

Your answer

A number or a short expression. Spacing and $ signs are ignored.

Solution

Analysis
According to the random number table, the selection can be made sequentially to reach a conclusion. This problem mainly tests the application of simple random sampling. Correctly understanding the random number method is the key to solving this problem.

Solution
The selection method starts from the fourth column of the first row in the random number table, reading from left to right. We select two-digit numbers less than 30 as the serial numbers. The selected numbers are 20, 26, 24, 19, 23, and 03.

Hence, the number of the 6th selected television is $\boxed{03}$ .

Want a route through all this instead of an archive? The track puts 2,000 problems in a working order, from AMC 10 level to the IMO shortlist.

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.