Question

You are out with friends. Half of you want to go bowling and the other half want to go to a movie. How will you make a fair decision about whether to go to a movie or go bowling using a fair coin and assuming that all of you want to go to either of the places together? (Let H = heads and T = tails)


A)Flip the coin twice. If the outcome is in the sequence HH, go to the movie. If it isnot HH, go bowling.

B)Flip the coin twice. If the outcome is in the sequence HT, go to the movie. If it is TH, go bowling or repeat the process.

Answer 1

C)Flip the coin three times. If the outcome is in the sequence HHT, go to the movie. If it is TTT or HHH, go bowling; otherwise, repeat the process.

D)Flip the coin three times. If the outcome is in the sequence HHH or TTT, go to the movie; otherwise, go bowling.

Answer 2

@Mehek14 @AaronAndyson @1stTime4Everything @misty1212 @Ineedhelplz @Sachintha

Answer 3

.

Answer 4

HT and TH have equal probability.
Its 0.5 for both.

Answer 5

Therefore,
The only one that is fair is #2.

The outcomes of HT and TH are equal, so that means you'll go to the movie or bowling with equal probability. If it isn't one of those outcomes (i.e. HH or TT), then you just repeat the process.

Answer 6

@AaronAndyson so which one is it?

Answer 7

B.

Answer 8

ty