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

understand that i don't know the answers

will someone answer his question

i think 1: 2

step-by-step explanation: