Question

The dealer in a card game draws 3 cards from a deck of 52 cards and places them face up on a table. Select all of the correct probabilities. P(no Kings) is P(2 fives) is P(1 Heart and 2 spades) is P(2 Aces and 1 ten) is

Answer 1

Answer:I think it is the first one and the 3rd one!

Step-by-step explanation: I am pretty sure

Answer 2

Explanation:

1.

`P(no~king)=(48c_(3))/(52c_(3)) =((48*47*46)/(3*2*1) )/((52*51*50)/(3*2*1) ) \\=(48*47*46)/(52*51*50) \\=(4*47*23)/(13*17*25) \\=(4324)/(5525)`

`2.\\</p><p>p(2~fives)=(4c_(2))/(52c_(2)) \\=(4*3)/(52*51) \\=(1)/(221)`

`\\3.</p><p>\\P(1 Heart ~and ~2 spades)=(13c_(1)*13c_(2))/(52c_(3)) \\=((13)/(1) (13*12)/(2*1) )/((52*51*50)/(3*2*1) ) \\=(13*13*12)/(52*17*50) \\=(39)/(650)`

`4.\\</p><p>P(2~ Aces ~and~ 1~ ten)=(4c_(2)*4c_(1))/(52c_(3)) \\=((4*3)/(2*1)*(4)/(1)  )/((52*51*50)/(3*2*1) ) \\=(4*3*4)/(52*17*50) \\=(6)/(221*25) \\=(6)/(5525)`