Math Problem Statement
let five cards (a hand) be drawn at random without replacement, from an ordimary deck of 52 playing cards. calculate the probability that exactly two kings, two queens and No jack?
Solution
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Math Problem Analysis
Mathematical Concepts
Combinatorics
Probability
Counting principles
Formulas
Combination formula: C(n, k) = n! / (k!(n-k)!)
Total possible hands: C(52, 5)
Favorable hands for Kings: C(4, 2)
Favorable hands for Queens: C(4, 2)
Favorable hands for remaining cards: C(40, 1)
Theorems
Combination theorem
Basic probability theorem
Suitable Grade Level
Grades 10-12
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