Gambling: Crown and Anchor. Crown and Anchor is a game that is sometimes played at charity casinos or just for fun. It can be played with a “wheel of fortune" or with 3 dice, in which each die has its 6 sides labelled with a crown, an anchor, and the four card suits club, diamond, heart and spade, respectively. You bet an amount (let’s say \$1) on one of the 6 symbols: let’s suppose you bet on “heart". The 3 dice are then rolled simultaneously and you win \$t if t hearts turn up ($t = 0, 1, 2, 3$).
Let $X$ represent your profits from playing the game n times. Give a normal approximation for the distribution of $X$.
How should I do this problem?