Question

4. In one version of the game played by a dealer and a player, 2 cards of a standard 52-card bridge deck are dealt to the player and 2 cards to the dealer. For this exercise, assume that drawing an ace and a face card (Jack, Queen and King for each shape) 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 tie occurs. (a) What is the probability that the dealer will draw a blackjack? (5%) (b) What is the probability that the player will wins with a blackjack? (15%)

Answer 1

4 solution). Csven . 4 the gme played by 2 Cardn d Standard In one Vernion 58-Card dealer and a plager, Cand 2 cards to the playen dealt deck bridge are to dealer. the 'acecard ace and a that drawing assume called blackjack. PM and king. -the Jace mrd iD Jack, queen will draw a that the deelaplayu a) The pnobabili ty blackjack. 4x12 1 326 4.8 1326 = 0.0361991

b) The player will wins probability thal the a, blackjack y with a blackjack| -P( the dealu dosn't draw ahe plagn draws a blackjack) = P( The dealen doun't drew a Hack jack and draws black sack)| P ( Hu playen the player draws a a blackjack) 'CL 50 50 6°C. 55 630 1225 | 225 1225 3+55+630 %3D 1225 1225 -0.5616 33