Aleks - Melissa Adkins - cards PDF

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Summary

ALEKS answers...

Description

QUESTION

Here is a table showing all

52 cards in a standard deck. Face cards

Suit Ace Two Three Four Five Six Seven Eight Nine Ten Jack Queen King

Color

Hearts

A♥ 2♥

3♥

4♥

5♥ 6♥

7♥

8♥

9 ♥ 10 ♥ J ♥

Q♥

K♥

Red Diamonds

A♦ 2♦

3♦

4♦

5 ♦ 6♦

7♦

8♦

9♦

10♦ J♦

Q♦

K♦

Black

Spades

A♠ 2♠

3♠

4♠

5♠ 6♠

7♠

8♠

9 ♠ 10 ♠ J ♠

Q♠

K♠

Black

Clubs

A♣ 2♣

3♣

4♣

5♣ 6♣

7♣

8♣

9 ♣ 10 ♣ J ♣

Q♣

K♣

Red

Suppose one card is drawn at random from a standard deck. Answer each part. Write your answers as fractions. (a) What is the probability that the card drawn is a diamond?

(b) What is the probability that the card drawn is a six?

(c) What is the probability that the card drawn is a diamond and a six?

EXPLANATION

1 card is drawn at random from the standard deck of 52 cards. 1 This means that each card has the same probability of being drawn. 52 In this problem,

More about the deck

So for each part of the problem, the probability we are looking for is given by this fraction. number of cards of the type to be drawn

52 (a) There are 13 diamonds in the deck. (In each suit, there are 13 cards: ace through king.) So, here is the probability that the card drawn is a diamond.

Another way

13 52 (b) There are 4 sixes in the deck. (There are 4 suits and 1 six in each suit.) So, here is the probability that the card drawn is a six.

Another way

4 52

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2

ANSWER

(a) What is the probability that the card drawn is a diamond?

13 52 (b) What is the probability that the card drawn is a six?

4 52 (c) What is the probability that the card drawn is a diamond and a six?

1 52

© 2021 McGraw-Hill Education. All Rights Reserve...