Question

MongoMillions is a lottery game played in the United States. The way the game is played, numbers picked for the prizes consist of numbers picked at random from a pool of 46 numbers (the White Numbers). Then a single number (the Mongo Number) is picked from a second pool of 11 numbers. of the results of these random number selections match one of the winning combinations in any order on your lottery ticket, then you win something The payout structure is as follows: 

Mongo Millions Payout Structure 

Match Payout 

All Six Jackpot 

5 White Numbers + No Mongo Number $1.000.000 

4 out of 5 White + Mongo Number $50,000 

4 out of 5 White + No Mongo Number $5,000 

3 out of 5 White + Mongo Number $500 

3 out of 5 White No Mongo Number 

2 out of 5 White Mongo Number $5 $2 

1 out of 5 White + Mongo Number $1 

O out of 5 White + Mongo Number 

What is the probability of winning $50,000 for the drawing? Round your answer to 6 decimal places.

Answer 1

Number of ways of choosing 's numbers from a of '46 numbers fool of عا' 46 C5 461 5! (06-5) 461 5141! = 46x45 x 44 x 43x42 5x4x3x2xl 1,370,154 5 c 11 с Cu Х 55c 4 out of a white numbers X 551 5! 41.41 54111 SX 55 275 P3

Probability of having match of 4 out of 5 white numbers 275 1,370,754 Probability of having match of Mongo Numbers out of il nuncdeos 1 Probability of (4 out of 5 white + Mongo number) Х 275 1,370,754 11 275 15,078,296 0.000018 5 Probability of winning $50,000 0.000018