A state lottery involves the random selection of six different numbers between 1 and 26. If you 125) select one six number combination, what is the probability that it will be the winning combination?

A) $\frac { 1 } { 230,230 }$

B) $\frac { 1 } { 308,915,776 }$

C) $\frac { 1 } { 720 }$

D) $\frac { 1 } { 165,765,600 }$

Question

A state lottery involves the random selection of six different numbers between 1 and 26. If you 125) select one six number combination, what is the probability that it will be the winning combination?

A) $\frac { 1 } { 230,230 }$

B) $\frac { 1 } { 308,915,776 }$

C) $\frac { 1 } { 720 }$

D) $\frac { 1 } { 165,765,600 }$

Quizplus · Accepted Answer

The total number of ways to choose 6 different numbers from 26 is given by the combination formula $\binom{26}{6}$, which equals 230,230. Therefore, the probability of selecting the winning combination is $\frac{1}{230,230}$.

A State Lottery Involves the Random Selection of Six Different 1230,230\frac { 1 } { 230,230 }230,2301​

A State Lottery Involves the Random Selection of Six Different $\frac { 1 } { 230,230 }$