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Draw one card at random from a standard deck of cards. The
Chapter 1, Problem 3E(choose chapter or problem)
Draw one card at random from a standard deck of cards. The sample space \(S\) is the collection of the 52 cards. Assume that the probability set function assigns \(1 / 52\) to each of the 52 outcomes. Let
\(A = {x: x\) is a jack, queen, or king},
\(B = {x: x\) is a 9, 10, or jack and x is red},
\(C = {x: x\) is a club},
\(D = {x: x\) is a diamond, a heart, or a spade}.
Find (a) \(P(A)\), (b) \(P(A \cap B)\), (c) \(P(A \cup B)\), (d) \(P(C \cup D)\), and (e) \(P(C \cap D)\).
Equation Transcription:
Text Transcription:
S
1/52
A={x:x
B={x:x
C={x:x
D={x:x
P(A)
P(A cap B)
P(A cup B)
P(C cup D)
P(C cap D)
Questions & Answers
QUESTION:
Draw one card at random from a standard deck of cards. The sample space \(S\) is the collection of the 52 cards. Assume that the probability set function assigns \(1 / 52\) to each of the 52 outcomes. Let
\(A = {x: x\) is a jack, queen, or king},
\(B = {x: x\) is a 9, 10, or jack and x is red},
\(C = {x: x\) is a club},
\(D = {x: x\) is a diamond, a heart, or a spade}.
Find (a) \(P(A)\), (b) \(P(A \cap B)\), (c) \(P(A \cup B)\), (d) \(P(C \cup D)\), and (e) \(P(C \cap D)\).
Equation Transcription:
Text Transcription:
S
1/52
A={x:x
B={x:x
C={x:x
D={x:x
P(A)
P(A cap B)
P(A cup B)
P(C cup D)
P(C cap D)
ANSWER:
Solution :
Step 1 :
Here the sample space S is a collection of 52 cards. And the probability of selecting each outcome is 1/52 . the events are defined as
A = { x: x is jack, queen or king}
B = { x: x is 9 ,10 or jack and x is red }
C = { x: x is club}
D = { x : x is a heart, a diamond . or a spade }
We have to find
P(A), P(A,P(AP(C,and P(C.