Suppose you play a game in which you flip two coins on each

Suppose you play a game in which you flip two coins on each turn. If one of the coins is heads, you lose a dollar to your friend. If one of the coins is tails, your friend loses a dollar to you. For example if both coins are heads you lose two dollars.

1. Give the sample space.

2. You suspect that the coins are loaded. Is there something you can do to guarantee that the outcome of the random event (betting on the outcome of tossing two coins) is fair? Hint: What happens if you repeat certain experiments (outcomes of the sample space) and redefine the rules above?

Solution

1. The Sample space for this experiment can be as follows :

sample space is the possible outcome of an experiment .in this experiment the outcome can be

HH, HT , TH, TT,

H : heads ,

T : tails .

2. yes if we want to guarantee that tge outcome of the experiment is fair , we introduce a bias value .

now a bias value will adjust the amount of unfair practice done in an experiment.