1.1-3. 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 n B), (c) P(A U B), (d) P(C U D), and (e) P(C n D).

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I am struggling with this, can you please do this step by step so I understand it better and can you please do part E

1.1-3. 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 n B), (c) P(A U B), (d) P(C U D), and (e) P(C n D).
Transcribed Image Text:1.1-3. 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 n B), (c) P(A U B), (d) P(C U D), and (e) P(C n D).
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