A state lottery involves the random selection of six different numbers between 1 and 30. If you select one six number combination, what is the probability that it will be the winning combination?
A. 1/720
B. 1/593,775
C. 1/427,518,000
D. 1/789,000,000

Option C

The probability that it will be the winning combination is:

Solution:

The probability is given as:

Given that,

A state lottery involves the random selection of six different numbers between 1 and 30

There are 30 numbers from 1 to 30

The probability that the first digit of lottery number is same as picked can be calculated as:

Since, already we picked 1 digit, now total outcomes = 30 - 1 = 29

The probability that the second digit of lottery number is same as picked can be calculated as:

Similarly, The probability that the all digit of lottery number is same as picked can be calculated as:

Thus Option C is correct

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.