Question
In: Statistics and Probability
You pick cards one at a time without replacement from an ordinary deck of 52 playing...
You pick cards one at a time without replacement from an ordinary deck of 52 playing cards. What is the minimum number of cards you must pick in order to guarantee that you get a) three of a kind, and b) three Kings. Use the binomial theorem to expand (2x + y)^6. You must illustrate use of the binomial theorem.
Solutions
Expert Solution
Answer:
Three of a kind:
There are a total of 4 sets with 13 cards each.
For three of a kind:
we need to select a minimum of 2*13 + 1 = 26 + 1 = 27 cards.
Three Kings:
There are four kings in a deck of cards. One has to pick 51 cards to guarantee there are three kings. If one picks 48 cards he might mot get even one king. This is the worst possible case
No.of cards to be picked = 51
(2x + y)^6:
orchestra answered 2 years agoRelated Solutions
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