Question

t is the 4 A deck of ceds has 13 of eoah suit (clabs, diamonds, hearts, and spades). What probubility of drwing a club? cdub (drawing a diamond, heart, or spade)? What is the probability of not drawing a Pinot club)- A1xr canls e Jact Ouem, and King of cach suit), What is the probability of drawing a face card? P(face card)- What is the probability of drawing both a face card and a club? P(face card n club) Show the formula for the probability of the union of two events, A and B: P(A U B) Calculate the probability of drawing a face card or a club. P(face card u club)-

Answer 1

There are 13 card in each suit ( club, diamonds, heart and spade) in a deck. So deck has 52 cards

() 12 2 P(face card) = 0.2308 (") = 52

$P(face ~card \cap club)=\frac{3}{52}=0.0577$

( As there are 12 card and it has jack, queen and king from each suit hence it has 3 cards from each suit)

$P(A\cup B)=P(A)+P(B)-P(A\cap B)$

$P(face ~card \cup club)=P(face~card)+P(club)-P(face ~card \cap club)=\frac{12}{52}+\frac{13}{52}-\frac{3}{52}=\frac{22}{52}=0.4231$