The Sorry State Lottery requires you to select 5 different numbers drawn at random from a set numbered 1 to 43. (Order is not important.) You are a Big Winner if the 5 numbers you select agree with those in the drawing.
What is the probability of being a Big Winner

A) $\frac { 1 } { 70,221,789 }$
B) $\frac { 1 } { 75,335,902 }$
C) $\frac { 1 } { 38,470,009 }$
D) $\frac { 1 } { 962,598 }$
E) $\frac { 1 } { 28,460,833 }$

Question

The Sorry State Lottery requires you to select 5 different numbers drawn at random from a set numbered 1 to 43. (Order is not important.) You are a Big Winner if the 5 numbers you select agree with those in the drawing.  
What is the probability of being a Big Winner 
 
A) $\frac { 1 } { 70,221,789 }$
B) $\frac { 1 } { 75,335,902 }$
C) $\frac { 1 } { 38,470,009 }$
D) $\frac { 1 } { 962,598 }$
E) $\frac { 1 } { 28,460,833 }$

Quizplus · Accepted Answer

The probability of winning is calculated by finding the number of combinations of 5 numbers from a set of 43, which is $\binom{43}{5} = 962,598$. Thus, the probability is $\frac{1}{962,598}$.

The Sorry State Lottery Requires You to Select 5 Different 170,221,789\frac { 1 } { 70,221,789 }70,221,7891​

The Sorry State Lottery Requires You to Select 5 Different $\frac { 1 } { 70,221,789 }$