Train Problem from Martin Gardner A girl has a boyfriend(east) in Brooklyn and a boyfriend in...

Train Problem from Martin Gardner

A girl has a boyfriend(east) in Brooklyn and a boyfriend in Manhattan(west). The train station at her office is between the two. The train to Brooklyn arrives on the hour, stays for a minute, then departs. The train for Manhattan arrives 1 minute after the hour and stays for a minute and departs. The trains run at 10 minute intervals. She likes both of the men equally well so she decides just to get on the first train that arrives. Which man does she visit the most?

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Train Problem from Martin GardnerA girl has a boyfriend(east) in Brooklyn and a boyfriend in Manhattan(west). The train station at her office is between the two. The train to Brooklyn arriveson the hour, stays for a minute, then departs. The train for Manhattan arrives 1 minuteafter the hour and stays for a minute and departs. She likes both the the men equally well so she decides just to get on the first train that arrives. Which man does she visit the most?

Marriage by Chance

B

B

A

B

A

A

718

1118

Duel

Two people have a contest to see who can hit the target first. The probability that Rose hits the target is .5 and that Bob hits the target is .5. The first to hit the target wins. If Rose goes first, what is the probability of Rose’s winning the game?

Simulate ten games

TI83 MATH -> PRB -> 5 ->1,2)

Type the below and then continue to hit enter.

Guess

23

13

Rose

Bob

Fortune Teller’s Device

F

F

S

SS

FS

F

S

SS

FS

F

S

SS

FS

F

S

SS

FS

1630

1430

Breaking the Stick

GSP