If heads is a success when we flip a coin, getting a six is a success when we roll a die, and getting an ace is a success when we draw a card from an ordinary deck of 52 playing cards, find the mean and the standard deviation of the total number of successes when we
(a) flip a balanced coin, roll a balanced die, and then draw a card from a well-shuffled deck;
(b) flip a balanced coin three times, roll a balanced die twice, and then draw a card from a well-shuffled deck.