Three cards are drawn from an ordinary deck of cards one by one without replacement. Find the probability of the following: a) Getting all Jacks b) Getting an Ace, a King and a Queen in order c) Getting an club-a spade and a heart in order d) Getting three clubs

For all the questions remember that with each card drawn, the sample space decreases by one. There are 52 cards in a deck, 13 in each suit and 4 of each number

a) P(JJJ) = P(J1) * P(J2) * P(J3)

P(JJJ) = [tex]\frac{4}{52} * \frac{3}{51} *\frac{2}{50} = \frac{1}{5525} \\[/tex]

b)[tex]P(AKQ) = \frac{4}{52}* \frac{4}{51}* \frac{4}{50} = \frac{8}{16575}[/tex]

c) [tex]P(CSH) = \frac{13}{52}* \frac{13}{51} *\frac{13}{50} = \frac{169}{10200}[/tex]

d) [tex]P(CCC) = \frac{13}{52}* \frac{12}{51} *\frac{11}{50} =\frac{11}{850}[/tex]

Tundexi Tundexi · Answer 2 · 2022-06-01T17:14:23+02:00

The probability of the following event includes:

1/5525
8/16575
169/10200
11/850

What is the Probability of getting all Jacks?

P(JJJ) = P(J1) * P(J2) * P(J3)

P(JJJ) = 4/52 + 3/51 + 1/50

P(JJJ) = 1/5525

What is the Probability of getting an Ace, a King and a Queen?

P (AKQ) = 4/52 + 4/51 + 4/50

P (AKQ) = 8/16575

What is the Probability of getting club-a spade and a heart?

P (CSH) = 13/52 + 13/51 + 13/50

P (CSH) = 169/10200

What is the Probability of getting three clubs?

P(CCC) = 13/52 + 12/51 + 11/50

P(CCC) = 11/850