8. (35 points total) Poker dice is played by simultaneously rolling 5 dice. Show that (a) (5 points).P{no two alike}0.0926; (b) (5 points)P{one pair} = 0.4630; (d) (5 points)P{three alike}

= 0.1543; (e) (5 points)P{full house} = 0.0386; (f) (5 points)P{four alike} = 0.0193; (g) (5 points)P{five alike}0.0008.