Candy feeding
Source:
April 27, 2022
Problem Statement
A caretaker is giving candy to his two babies. Every minute, he gives a candy to one of his two babies at random. The five possible moods for the babies to be in, from saddest to happiest, are "upset," "sad," "okay," "happy," and "delighted." A baby gets happier by one mood when they get a candy and gets sadder by one mood when the other baby gets one. Both babies start at the "okay" state, and a baby will start crying if they don't get a candy when they're already "upset".
The probability that 10 minutes pass without either baby crying can be expressed as . Compute .2022 CCA Math Bonanza Team Round #7