Can anyone help me with this probability question? Very confused

[derekderek123]

You are playing a number guessing game. A random integer will be chosen from 1 to 299. You get two guesses at the number and your opponent only gets one. Whoever gets closest to the random number when it is chosen is the winner. If you have to make both of your choices before your opponent picks his number, then what choices should you make to maximize your chance of winning the game? Assume that your opponent is good at this game.

I got (75,225) (76,225) (75,224). What you guys think?

 

[Steven G]

Can you explain how you got your answer?
How do you think you opponent will pick their number?
What happens with ties?

 

[Deleted member 4993]

You are playing a number guessing game. A random integer will be chosen from 1 to 299. You get two guesses at the number and your opponent only gets one. Whoever gets closest to the random number when it is chosen is the winner. If you have to make both of your choices before your opponent picks his number, then what choices should you make to maximize your chance of winning the game? Assume that your opponent is good at this game.

I got (75,225) (76,225) (75,224). What you guys think?

What is your logic of choosing those numbers?

Please show us what you have tried and exactly where you are stuck.

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