We draw a card at random from a deck of 52 cards. Let A: get a club, B: draw a face and C: draw a Red card. Calculate the following probabilities. a) P(A) = b) P(B) = c) P(A*c) = d) P (A ∩ B) = e) P (A ∪ B) = f) P (A ∪ C) = g) P (A ∩ C) =

We draw a card at random from a deck of 52 cards. Let A: get a club, B: draw a face and C: draw a Red card. Calculate the following probabilities. a) P(A) = b) P(B) = c) P(A*c) = d) P (A ∩ B) = e) P (A ∪ B) = f) P (A ∪ C) = g) P (A ∩ C) =

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

We draw a card at random from a deck of 52 cards. Let A: get a club, B: draw a face and C: draw a
Red card. Calculate the following probabilities.
a) P(A) =
b) P(B) =
c) P(A*c) =
d) P (A ∩ B) =
e) P (A ∪ B) =
f) P (A ∪ C) =
g) P (A ∩ C) =

Expert Solution

Step 1: Given information

Let the events,

$A$ : getting a club card,

$B$ : drawing a face card, and

$C$ : drawing a red card.

$text Total number of cards in the standard deck end text equals 52$ .

There are four suits:

Hearts
Diamonds
Clubs
Spades

Each of these suits contains $13$ cards.

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