Snow White is scrubbing the kitchen floor when the doorbell rings. The Wicked Queen, disguised as an old woman, offers her a basket containing 5 apples, of which 1 is poisonous, 2 are wormy, and 2 are good. Snow White picks up the apples randomly one by one and eats them. Assume that: i) If she bites the poisonous apple, she dies instantly; ii) If she bites a wormy apple, she gives the rest of that apple to the pig; iii) If the pig eat a wormy apple, he dies right away (!) Compute the probability that: a)the pig dies; b)Snow White eats all the good apples .