You are dealt a hand consisting of 5 cards from a stack of 52 cards. Determine t

Question

You are dealt a hand consisting of 5 cards from a stack of 52 cards. Determine the probability of obtaining a. (Flush five cards of the same suit) b. A king, queen jack, ten and ace of the same suit (royal flush) Consider an energy diagram of two energy levels, one at 0 cm-1 and one at 300 cm-1. a. At what temperature will the probability of occupying the second energy level be 0.15? b. Consider the same situation but imagine you could locate two particles now in the second energy level (imagine the spin in an electronic system, where you can place 2 electrons per energy level, from 152). Do you expect the temperature to be higher or lower than in case a? Why? no calculations needed)

Explanation / Answer

1 a) Number of ways in which 5 cards of same suit can be selected = 4 x 13C5 = 5148

Number of ways in which 5 cards can be selected from 52 = 52C5 = 2598960

P(flush) = 5148/2598960 = 0.002

B) No of royal fluh possible = 4

P(royal flush) = 4/2598960 = 1.54x10-6

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