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:

Step-by-step explanation:

1.

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

$2.\\

p(2~fives)=\frac{4c_{2}}{52c_{2}} \\=\frac{4*3}{52*51} \\=\frac{1}{221}$

$\\3.

\\P(1 Heart ~and ~2 spades)=\frac{13c_{1}*13c_{2}}{52c_{3}} \\=\frac{\frac{13}{1} \frac{13*12}{2*1} }{\frac{52*51*50}{3*2*1} } \\=\frac{13*13*12}{52*17*50} \\=\frac{39}{650}$

$4.\\

P(2~ Aces ~and~ 1~ ten)=\frac{4c_{2}*4c_{1}}{52c_{3}} \\=\frac{\frac{4*3}{2*1}*\frac{4}{1}  }{\frac{52*51*50}{3*2*1} } \\=\frac{4*3*4}{52*17*50} \\=\frac{6}{221*25} \\=\frac{6}{5525}$

Answer 2

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

Step-by-step explanation: I am pretty sure