SOLUTION: From a shuffled standard deck of cards, 8 cards are dealt to a player. Let A= event that exactly 3 cards are red B= event that exactly 3 cards are face cards (K, Q, J) C= event

Question 1159829: From a shuffled standard deck of cards, 8 cards are dealt to a player. Let
A= event that exactly 3 cards are red
B= event that exactly 3 cards are face cards (K, Q, J)
C= event that exactly 5 cards are spades
Determine the following probabilities:
a. P(A)
b. P(B)
c. P(C)
d. P(AB) (Hint: Express the events as a union of mutually exclusive events, each event
describing how many red face cards, black face cards, red non-face cards, black nonface cards)
e. P(AC)
f. P(BC)
g. P(ABC)
h. P(A∪B∪C)
Answer by VFBundy(438) (Show Source): You can put this solution on YOUR website!
a. P(A)
= = = 0.2273

b. P(B)
= = = 0.1924

c. P(C)
= = = 0.0156

d. P(AB)

=

=

=

=

= 0.0437

e. P(AC)
= = = 0.0044

f. P(BC)

=

=

=

=

= 0.0030
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