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 (g) 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.
Let,
A= event a card higher than a 9 is selected
B= event a card between 7 and 10, inclusive is selected
C= an event a heart is selected
(a) Find P(B).
(b) Find P(B|A).
(c) Find P(B|C).
(d). Find P(B|(not A))
(e) Find P(A).
(f) Find P(A|B)
(g) Find P(A|C).