Help with probability?

Posted on 2015-10-13 06:34:00 in Math by STEVE

you and a friend are dealt 2 cards each from a shuffled deck of 52. what is the probability you both get an ace? what is the probability you both get a pair?

I need help. I don't know if i fully understand if this is correct. (a_C_b) is combinations "a choose b"

prop that they both get ace:
choose any 2 suits for aces:(4_C_2)
choose any 2 suits for the other cards:(4_C_2)
place the one ace(2_C_1)=2
place the one ace(2_C_1)=2
the total event: (52_C_4)
answer:2*2*(4_C_2)(4_C_2) / (52_C_4)

prop you both get a pair:
pick 2 of the 13 choices: (13_C_2)
pick 1 suit for the first choice:(4_C_1)=4
pick 1 suit for the 2nd choice{independent from above/meaning could be same suit}: (4_C_1)=4
answer: 4*4*(13_C_2) / (52_C_4)

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