Chance of winning at blackjack. Blackjack, a favorite game of gamblers, is played by a dealer and at least one opponent.

At the outset of the game, 2 cards of a 52-card bridge deck are dealt to the player and 2 cards to the dealer.

Drawing an ace and a face card is called blackjack. If the dealer does not draw a blackjack and the player does, the player wins. If both the dealer and player draw blackjack, a “push” (i.e., a tie) occurs.

a. What is the probability that the dealer will draw a blackjack?

b. What is the probability that the player wins with a blackjack?