# Lotto Texas

## Extra Recommendation Analysis

Recommendation:
Here's Why:
blah blah

Beginning in April 2013, Lotto Texas gives players the opportunity to increase the size of their winnings. By purchasing the Extra option for \$1 more, all prizes except the Jackpot will be tripled.

Is this a good value for players? Should the player buy this option? Lottery Power Picks believes that the answers are both Yes and No , depending on the Jackpot size.

For this analysis, LotteryPowerPicks calculated and compared the the payout return values of buying 1 Lotto Texas Ticket against buying 1 ticket with the Extra Option for \$2. The higher the return, the better for players.

 Table TX6-Xtra1 Lotto Texas Summary Money Returned to Players per \$1 Spent Jackpot \$0 \$5,000,000 \$11,408,876 \$20,000,000 1 Ticket \$0.095 \$0.289 \$0.537 \$0.869 w/ Extra \$0.316 \$0.413 \$0.537 \$0.703 Breakeven
As Table TX6-Xtra1 illustrates, the Extra Option returns more money to players when theJackpot is less than \$11,408,876 \$11,408,876. When the Jackpot is greater than this amount, more money is returned to players who buy tickets without the Extra Option.

### How These are Calculated

Probability     \$0 Jackpot
Constant Variable 'c'
\$1 Million Jackpot     \$11,408,876 Million
Jackpot Breakeven
\$20 Million Jackpot
 Table TX6-Xtra2 Lotto Texas Probability Matrix One Ticket Won Probability 6 0.000004% 5 0.001115% 4 0.065512% 3 1.339365% 2 11.300892% 1 39.779140% 0 47.513972%

 Table TX6-Xtra3a Lotto Texas \$1 Single Ticket No Extra Won Prize Prob Wtd 6 0 \$0.000 5 2,000 \$0.022 4 50 \$0.033 3 3 \$0.040 2 \$0.000 1 \$0.000 0 \$0.000 Per \$ \$0.095
Constant Variable 'c'

 Table TX6-Xtra3b Lotto Texas \$1 Single Ticket No Extra Won Prize Prob Wtd 6 5,000,000 \$0.194 5 2,000 \$0.022 4 50 \$0.033 3 3 \$0.040 2 \$0.000 1 \$0.000 0 \$0.000 Per \$ \$0.289

 Table TX6-Xtra3c Lotto Texas \$1 Single Ticket No Extra Won Prize Prob Wtd 6 \$11,408,876 \$0.346 5 2,000 \$0.022 4 50 \$0.033 3 3 \$0.040 2 \$0.000 1 \$0.000 0 \$0.000 Per \$ \$0.537
Jackpot Breakeven

 Table TX6-Xtra3d Lotto Texas \$1 Single Ticket No Extra Won Prize Prob Wtd 6 20,000,000 \$0.774 5 2,000 \$0.022 4 50 \$0.033 3 3 \$0.040 2 \$0.000 1 \$0.000 0 \$0.000 Per \$ \$0.869
With Extra Option
 Table TX6-Xtra4a Lotto Texas \$2 Single Ticket With Extra Won Prize Prob Wtd 6 0 \$0.000 5 12,000 \$0.134 4 150 \$0.098 3 13 \$0.174 2 2 \$0.226 1 \$0.000 0 \$0.000 Sum \$0.632 Per \$ \$0.316
Constant Variable 'c'

 Table TX6-Xtra4b Lotto Texas \$2 Single Ticket With Extra Won Prize Prob Wtd 6 5,000,000 \$0.194 5 12,000 \$0.134 4 150 \$0.098 3 13 \$0.174 2 2 \$0.226 1 \$0.000 0 \$0.000 Sum \$0.826 Per \$ \$0.413

 Table TX6-Xtra4c Lotto Texas \$2 Single Ticket With Extra Won Prize Prob Wtd 6 \$11,408,876 \$0.442 5 12,000 \$0.134 4 150 \$0.098 3 13 \$0.174 2 2 \$0.226 1 \$0.000 0 \$0.000 Sum \$1.074 Per \$ \$0.537
Jackpot Breakeven

 Table TX6-Xtra4d Lotto Texas \$2 Single Ticket With Extra Won Prize Prob Wtd 6 20,000,000 \$0.774 5 12,000 \$0.134 4 150 \$0.098 3 13 \$0.174 2 2 \$0.226 1 \$0.000 0 \$0.000 Sum \$1.407 Per \$ \$0.703