Three cards are drawn from a deck of 52 playing cards and not replaced. Find the probability of the following:

a) Getting three jacks


b) Getting an ace, a king, and a queen in order.


c) Getting a club, a spade, and a heart in order


d) Getting three clubs

Three cards are drawn from a deck of 52 playing cards and not replaced. Find the probability of the following:
OK, for the first one, the chances of the first one being a Jack are 4/52. The chances for the second one are 3/51, and the chances for the third are 2/50. Multiply them together and you get 24/52*51*50, or 1/5525.





For the second, the odds for the first card being an ace are 4/52. The odds of the second one being a king are 4/51, and the odds of the third being a queen are 4/50. So the odds are 64/52*51*50, or 8/16575, or 1/2071.875.





The third question works just like the second one, except there are 13 cards per suit, rather than 4. So the odds for the first card are 13/52, 13/51 for the second and 13/50 for the third. Total odds: 13^3/52*51*50, or 169/10200, or 1/60.355.





The last question works similarly to the first. The odds of the first card being a club are 13/52. The odds for the second are 12/51, and for the third 11/50. Overall odds: 13*12*11/52851*50, or 11/850, or 1/77.(27)repeating.
Reply:I'm not really into doing peoples HW for them but this too easy.


a) 4/52 x 3/51 x 2/50 = calculate


b) 4/52 x 4/51 x 4/50 = idk, you'll have to calculate it.


you always times if its an "and" but you add if its an "or"


c)13/52 x 13/51 x 13/50= calculate


d) 13/52 x 12/51 x 11/50= calculate


the club number goes down b/c your not replacing it. You have 13 clubs, you take one out, now you have 12 and 51 cards in all.





I don't feel too bad doing this because you still need to so most of the math. This is too easy hun!
Reply:a) = 4/52 * 3/51 * 2/50 = 24 / 132,600 = 3/16575 = 1/5,525





b)4/52 * 4/51 * 4/50 = 64 / 132,600 = 16/33,150





c) 13/52 * 13/51* 13/50 = 2,197/132,600





d) 13/52*12/51*11/50 = 1,716/132,600
Reply:Hey, that's four questions! That should be eight points :)





Three jacks would be 1/13 x 1/17 x 1/25





AKQ would be 1/13 x 4/51 x 2/25





CSH would be 1/4 x 13/51 x 13/50





Three clubs would be 1/4 x 4/17 x 11/50
Reply:a) Getting three jacks 4/52*3/51*2/51


b) Getting an ace, a king, and a queen in order. 4/52*4/51*4/50


c) Getting a club, a spade, and a heart in order13/52*13/51*13/50


d) Getting three clubs 13/52*12/51*11/50
Reply:49 duh
Reply:a, 4/52 x 3/51 x 2/50


b, 4/52 x 4/51 x 4/50


c, 13/52 x 13/51 x 12/50


d, 13/52 x 12/51 x 11/50