Answered: A card is drawn at random from a deck…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.6: Counting Principles

Problem 9ECP: In three-card poker, a hand consists of three cards dealt from a deck of 52. How many different...

See similar textbooks

Related questions

Question

A card is drawn at random from a deck of 52 cards. Let the events be: A = "A figure card comes out" and B = "A red card comes out." The cardinalities of the sets "The Complement of A" and "A intersection B" are:

a) 26, 6
b) 40, 6
c) 52, 26
d) 40, 12

Expert Solution

Step 1

A= A figure card comes out

A figure card is the king, queen and jack card in the deck

There are 3 figure cards each of Diamond, Hearts, Clubs and Spades

Therefore, total number of figure cards in a deck of 52 cards is $3 \times 4 = 12$

$\begin{array}{rcl} C a r d i n a l i t i e s o f C o m p l e m e n t o f e v e n t A & = & c a r d d r a w n i s n o t a f i g u r e c a r d \\ = & 52 - 12 \\ = & 40 \end{array}$

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Relations$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions