Solve the problem.
-A state lottery involves the random selection of six different numbers between 1 and 29. If you select one six number combination, what is the probability that it will be the winning combination?
A) $\frac { 1 } { 720 }$
B) $\frac { 1 } { 594,823,321 }$
C) $\frac { 1 } { 342,014,400 }$
D) $\frac { 1 } { 475,020 }$

Question

Solve the problem.
-A state lottery involves the random selection of six different numbers between 1 and 29. If you select one six number combination, what is the probability that it will be the winning combination? 
A) $\frac { 1 } { 720 }$
B) $\frac { 1 } { 594,823,321 }$
C) $\frac { 1 } { 342,014,400 }$
D) $\frac { 1 } { 475,020 }$

Quizplus · Accepted Answer

The total number of combinations of 6 numbers from 29 is given by the combination formula $\binom{29}{6}$, which equals 475,020. The probability of selecting the winning combination is $\frac{1}{475,020}$.

Solve the Problem 1720\frac { 1 } { 720 }7201​ B) 1594,823,321\frac { 1 } { 594,823,321 }594,823,3211​

Solve the Problem $\frac { 1 } { 720 }$ B) $\frac { 1 } { 594,823,321 }$