1) from a deck with 52 cards, pick 6 cards randomly. Find the probability that y

Question

1) from a deck with 52 cards, pick 6 cards randomly. Find the probability that you get two triples

2) pick a person randomly from the 100 people. Denote the event F="the person is female", abd Y="yes, the person smokes". Find the following conditional probabilities 1) from a deck with 52 cards, pick 6 cards randomly. Find the probability that you get two triples

2) pick a person randomly from the 100 people. Denote the event F="the person is female", abd Y="yes, the person smokes". Find the following conditional probabilities

2) pick a person randomly from the 100 people. Denote the event F="the person is female", abd Y="yes, the person smokes". Find the following conditional probabilities

Explanation / Answer

1)

Find the probability that you get two triples

= (The number ways of chosing two triples)/ (number of Combinations of 6 cards from 52)

= 13C2*4C3 * 4C3 / 52C6

where nCk is the n!/(k!)(n-k)!

13C2 is for chosing any two combinations from 13 types of numbers in deck of 52 cards

4C3 is the combination of chosing 3 cards from these selected number

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