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I HAVE A GEOMETRY QUESTION CAN SOMONE PLEASE HELP?!?
A bag contains 26 letters and 10 numerals. Amy draws two cards from the bag. What is the probability that she draws 2 letters?
A. 1/13
B. 65/126
C. 26/126
D. 13/315
Can someone show me how to do this problem? Its probabilities with permutations and combinations.
3 Answers
- J. J..Lv 76 years ago
I would have done it in the same way as az_lender and !!! ie
(26/36) * (25/35) = (13/18) * (5/7)
= 65 / 126
= Answer B
BUT you have specifically asked to do it with COMBINATIONS so OK
There are 36C2 ways to select any 2 characters
ie Combinations choose 2
36C2 = 36! / (2! * 34!) = 36 * 35 / 2 = 630
There are 26C2 ways to get any two LETTERS
26C2 = 26! / (2! * 24!) = 26 * 25 / 2 = 325
There are 10C0 ways to get ZERO digits
10C0 simply = 1
Therefore of the 36C2 ways to get ANY two characters, 26C2 * 10C0 have exactly 2 letters
Your answer = (26C2 * 10C0) / 36C2
= (325 * 1) / 630
= 325 /630
= 65 / 126
Answer = B
I hope this was what you were after
- az_lenderLv 76 years ago
(26/36)(25/35) = (13/18)(5/7) = 65/125 (B).
I agree it's probabilities -- NOTHING to do with geometry!!!!!!!
