A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is (hearts, diamonds, clubs, and spades). Each suit contains the cards ace, 2, 3., 10, jack, queen, king. diamond. A standard 52-card deck is split evenly into four suits of cards a) Find P(E) andP(E'). b) Find P(F) and P(F). c) Find P(EUF).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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a) P(E) =|
(Type an integer or a simplified fraction.)
P(E') =D
(Type an integer or a simplified fraction.)
b) P(F) =|
(Type an integer or a simplified fraction.)
P(F') = |
(Type an integer or a simplified fraction.)
c) P(EUF) =
(Type an integer or a simplified fraction.)
Transcribed Image Text:a) P(E) =| (Type an integer or a simplified fraction.) P(E') =D (Type an integer or a simplified fraction.) b) P(F) =| (Type an integer or a simplified fraction.) P(F') = | (Type an integer or a simplified fraction.) c) P(EUF) = (Type an integer or a simplified fraction.)
A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is a diamond. A standard 52-card deck is split evenly into four suits of cards
(hearts, diamonds, clubs, and spades). Each suit contains the cards ace, 2, 3.., 10, jack, queen, king.
a) Find P(E) and P (E').
b) Find P(F) and P (F').
c) Find P(EUF).
Transcribed Image Text:A card is randomly drawn from a deck of well-shuffled playing cards. Let event E be that the card is a king and event F be that the card is a diamond. A standard 52-card deck is split evenly into four suits of cards (hearts, diamonds, clubs, and spades). Each suit contains the cards ace, 2, 3.., 10, jack, queen, king. a) Find P(E) and P (E'). b) Find P(F) and P (F'). c) Find P(EUF).
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