   Chapter 14.CR, Problem 29E ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742

#### Solutions

Chapter
Section ### Algebra and Trigonometry (MindTap ...

4th Edition
James Stewart + 2 others
ISBN: 9781305071742
Textbook Problem

# Rolling a Die and Selecting a Card A die is rolled, and a card is selected from a standard 52 -card deck. What is the probability that both the die and the card show a six?

To determine

To find:

The probability of both die and the card show a six.

Explanation

Given:

A die is rolled, and a card is selected from a standard 52-card deck.

Approach:

The probability of an event E is given by,

P(E)=n(E)n(S)

The probability of intersection of two independent events E and F is given by,

P(EF)=P(E)×P(F)

Here, P(E), P(F), and P(EF) are the probabilities of the event E, F, and EF respectively.

Calculation:

Let,

E be the event of the die showing a six.

F be the event of the card showing a six

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