Chapter 14.2, Problem 28E

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4th Edition

James Stewart + 2 others

ISBN: 9781305071742

Textbook Problem

**Conditional Probability** These exercises involve conditional probability.

A card is drawn from a deck. Find the following conditional probability.

**(a) **The card is queen, given that it is a face card.

**(b) **The card is a king, given that it is a spade.

**(c) **The card is a spade, given that it is a king.

To determine

(a)

**To find:**

The conditional probability that the drawn card is a queen, given that it is a face card.

Explanation

**Given:**

A card is drawn from a deck.

**Approach:**

Here,

There are

Jack, Queen, King are face cards, there are total

**Calculation:**

Suppose

Here,

Here,

To determine

(b)

**To find:**

The conditional probability that the drawn card is a king, given that it is a spade.

To determine

(c)

**To find:**

The conditional probability that the drawn card is a spade, given that it is a king.

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