Question

R. Given a standard deck of 52 cards with 5 cards being dealt to a player. (a) Find the probability that the player's hand will have all 5 cards as spades. (4 marks) (b) Now find the probability that the player's hand is a flush. Note that a flush is a 5 card poker hand with all 5 cards being the same suit. (4 marks)

Answer 1

due &- Givers a standard deek of 50 coords with 5 coods being dealt to a player (a) find the protabonting that the players hand will have all 5 courds as sbade solution a we will solve it by using Binomial distribution Here ne 5 het p be the probability of getting a spade coord Then p= Pla spade in a single draw ) = 13 = 1 and q= 1-p=1-14 3 52 4 P ( player's hand will have all 5 cards as spade) 5.5 5 3 P(5) = (+) ( ç х 1024 1024 ㅗ 1024 Probability of player's hand will have all coord in spade =

hand in a frush in a 5 ceond poker the same suit (1) Now. Find the probability that the player's a flush. Note that hand with all 5 cords being solution het þ be the probability of getting a same saut coord. Then papla red as black in a single throw) - 26 5d 1 a) q=1-b- - a Then by using binomial distribution Brobability of all the 5 cends core of the sewe 8+ 5 5.5 q ç 5 5.5 (1 565 3) (3 = 1x 1x1= 32 3d Probability of all all the 5 words are of the same sust- 1 38