One card is selected at random from an ordinary deck of 52 playing cards. Events A, B, and C are defined below. Find the probabilities for parts (a) through (h) below and express your results in words. Compute the conditional probabilities directly; do not use the conditional probability rule. Note that the ace has the highest value. A= event a face card is selected B= event a king is selected C= event a spade is selected a. Find P(B) (Type an integer or a fraction) b. Find P(B|A) (Type an integer or a fraction) c. Find P(B|C) (Type an integer or a fraction) d. Find P(B|(not A)) (Type an integer or a fraction) e. Find P(A) (Type an integer or a fraction) f. Find P(A|B) (Type an integer or a fraction) g. Find P(A|C) (Type an integer or a fraction) h. Find P(A|(not B)) (Type an integer or a fraction)
One card is selected at random from an ordinary deck of 52 playing cards. Events A, B, and C are defined below.
Find the probabilities for parts (a) through (h) below and express your results in words. Compute the conditional probabilities directly; do not use the conditional probability rule. Note that the ace has the highest value.
A=
B= event a king is selected
C= event a spade is selected
a. Find P(B)
(Type an integer or a fraction)
b. Find P(B|A)
(Type an integer or a fraction)
c. Find P(B|C)
(Type an integer or a fraction)
d. Find P(B|(not A))
(Type an integer or a fraction)
e. Find P(A)
(Type an integer or a fraction)
f. Find P(A|B)
(Type an integer or a fraction)
g. Find P(A|C)
(Type an integer or a fraction)
h. Find P(A|(not B))
(Type an integer or a fraction)
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