You and a friend play a game where you each toss a

Solution 2E

Step1 of 3:

Let us consider two fair coins, if upper faces of coins are both tails then you win $1. If upper faces of coins are both heads then you win $2; if the coins do not match then you lose $1.

Let us consider an event ‘H’ be the heads.

Let event ‘T’ be the tail.

Consider the sample space S = {H, T, H, T}

Our goal is:

We need to Give the probability distribution for your winnings, Y , on a single play of this game.

Step2 of 3:

Let us consider two fair coins, if we toss both coins at the same time then the probability of getting both are tail is given by:

       P(TT) =

=     

Similarly,

      P(HH) =