Solve the problem.
-A state lottery involves the random selection of six different numbers between 1 and 31. If you select one six number combination, what is the probability that it will be the winning combination?
A) $\frac { 1 } { 530,122,320 }$
B) $\frac { 1 } { 736,281 }$
C) $\frac { 1 } { 887,503,681 }$
D) $\frac { 1 } { 720 }$

Question

Solve the problem.
-A state lottery involves the random selection of six different numbers between 1 and 31. If you select one six number combination, what is the probability that it will be the winning combination? 
A) $\frac { 1 } { 530,122,320 }$
B) $\frac { 1 } { 736,281 }$
C) $\frac { 1 } { 887,503,681 }$
D) $\frac { 1 } { 720 }$

Quizplus · Accepted Answer

The total number of combinations of selecting 6 numbers from 31 is given by the combination formula $\binom{31}{6}$, which equals 736,281. Thus, the probability of selecting the winning combination is $\frac{1}{736,281}$.

Solve the Problem 1530,122,320\frac { 1 } { 530,122,320 }530,122,3201​ B) 1736,281\frac { 1 } { 736,281 }736,2811​

Solve the Problem $\frac { 1 } { 530,122,320 }$ B) $\frac { 1 } { 736,281 }$