Roulette. James Bond is in a desperate bind. He is about to meet an informer in Casino Royale who will tell the coordinates of Dr. No's island and his doomsday machine in exchange for 1000 000. At arrival Bond discovers that Q has handed him only monopoly money after he trashed one Bond car too many. Checking his wallet Bond finds some small change (800). He decides to risk it all at the roulette table to multiply the sum to 1000 000, always betting his entire available money. Roulette rules: Numbers on the roulette wheel range from 0 to 36. Possible bets (among others): Single number. Payout is 36 times the money bet (including the original wager). Dozen. One can bet on the first dozen (1-12), second dozen (13-24), third dozen (25-36). Payout is three times the original wager. All is lost if the ball falls on zero. Red or black. Numbers are assigned colours red and black. You can simply re- place this with odd or even for the simulations. Payout is two times the original wager. All is lost if the ball falls on zero. What would be your advice to Bond? Do 10000000 simulations of the three strate- gies to determine which of them has the highest chance to yield at least 1,000,000. Give the result in %, rounded to four decimals. You may consider running the simu- lations independently for the different scenarios. Running the simulations 10000 000 times (needed to get accurate results) will take some time. Consider testing with smaller number of simulations. Roulette. James Bond is in a desperate bind. He is about to meet an informer in Casino Royale who will tell the coordinates of Dr. No's island and his doomsday machine in exchange for 1000 000. At arrival Bond discovers that Q has handed him only monopoly money after he trashed one Bond car too many. Checking his wallet Bond finds some small change (800). He decides to risk it all at the roulette table to multiply the sum to 1000 000, always betting his entire available money. Roulette rules: Numbers on the roulette wheel range from 0 to 36. Possible bets (among others): Single number. Payout is 36 times the money bet (including the original wager). Dozen. One can bet on the first dozen (1-12), second dozen (13-24), third dozen (25-36). Payout is three times the original wager. All is lost if the ball falls on zero. Red or black. Numbers are assigned colours red and black. You can simply re- place this with odd or even for the simulations. Payout is two times the original wager. All is lost if the ball falls on zero. What would be your advice to Bond? Do 10000000 simulations of the three strate- gies to determine which of them has the highest chance to yield at least 1,000,000. Give the result in %, rounded to four decimals. You may consider running the simu- lations independently for the different scenarios. Running the simulations 10000 000 times (needed to get accurate results) will take some time. Consider testing with smaller number of simulations. Roulette. James Bond is in a desperate bind. He is about to meet an informer in Casino Royale who will tell the coordinates of Dr. No's island and his doomsday machine in exchange for 1000 000. At arrival Bond discovers that Q has handed him only monopoly money after he trashed one Bond car too many. Checking his wallet Bond finds some small change (800). He decides to risk it all at the roulette table to multiply the sum to 1000 000, always betting his entire available money. Roulette rules: Numbers on the roulette wheel range from 0 to 36. Possible bets (among others): Single number. Payout is 36 times the money bet (including the original wager). Dozen. One can bet on the first dozen (1-12), second dozen (13-24), third dozen (25-36). Payout is three times the original wager. All is lost if the ball falls on zero. Red or black. Numbers are assigned colours red and black. You can simply re- place this with odd or even for the simulations. Payout is two times the original wager. All is lost if the ball falls on zero. What would be your advice to Bond? Do 10000000 simulations of the three strate- gies to determine which of them has the highest chance to yield at least 1,000,000. Give the result in %, rounded to four decimals. You may consider running the simu- lations independently for the different scenarios. Running the simulations 10000 000 times (needed to get accurate results) will take some time. Consider testing with smaller number of simulations.