In a five card poker hand, a straight consists of 5 cards with adjacent denomina
ID: 3174034 • Letter: I
Question
In a five card poker hand, a straight consists of 5 cards with adjacent denominations (for example 9 of clubs, 10 of hearts, jack of hearts, queen of spades and king of clubs). Assuming that aces can be either high or low then if you are dealt a five card hand a. what is the probability that it will be a straight with a high card of 7? b. What is the probability you will get a straight? c. What is the probability you will get a straight flush (all cards are the same suit)? Suppose we are sampling for rare minerals at a certain geologic formation. Suppose that the probability of finding trace amounts of "staticium" in any core sample is 0.23. a. Then what is the probability that if will take 20 core samples before we get the 7^th core sample that contains "staticium". b. What is the minimum number of core samples we need to take so that the probability is at least 0.85 that we have 7 core samples that contain "staticium". Use whatever means you wish to answers the following questions a. If X~N(mu=5, sigma=10) then find P(4Explanation / Answer
1)
a)probability that it will be straight with a high card of 7 = no of starights with a high card of 7/total no of possible five card hands
total no of possible five card hands = 52C5 = 2598960
no of starights with a high card of 7 =4*4*4*4*4 = 1024(i.e in 3,4,5,6,7 denominations each denomination can be of 4 different types )
probability that it will be straight with a high card of 7 = 1024/2598960 = 0.000394
b)probability you will get a straight = no of stariaghts /total no of possible five card hands
high card can be 5,6,.............king,Ace (9 possibities)and in each different cases there are 45 possiblities
no of stariaghts = 9*45 = 9216
probability you will get a straight = 9216/2598960 = 0.003546
c)
high card can be 5,6,.............king,Ace (9 possibities) each with 4 possibilties
no of stariaghts flush = 9*4= 36
probability you will get a straight flush = 36/2598960 = 0.00001385
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