Two friends play a ball picking game where one wants to avoid the ‘black’ ball: The two friends each have a bag with 2 balls (1 black and 1 red) and they each randomly choose one ball out of their bag. Whoever picks a black ball must pay the other person $1 no matter what the other friend selected. If  both friends choose the red ball, nobody wins or loses any money. Say you played this game with you friend. Find the probability mass function (pmf) for your net winnings (in $) from this game. Display it in table form.

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.