Question

When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a number card and then an ace?

A) 12/221
B) 3/169
C) 4/221
D) 9/169

Answer 1

Number cards = 2,3,4,5,6,7,8,9,10
4 suits so 9 x 4 = 36

Ace
Because 4 suits so 4 x 1 = 4
51 because first card is taken out.


`(36)/(52) * (4)/(51) \\ = (144)/(2652) \\ = (12)/(221)`

Answer is A. 12/221

Hope this helps. - M