Here is a table showing all 52 cards in a standard deck. 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 face card? (b) What is the probability that the card drawn is a diamond? (c) What is the probability that the card drawn is a face card or a diamond?

Here is a table showing all 52 cards in a standard deck. 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 face card? (b) What is the probability that the card drawn is a diamond? (c) What is the probability that the card drawn is a face card or a diamond?

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...

See similar textbooks

Related questions

Q: Determine the probability that the second card is another 1010. P(10 ∣10 of hearts) = ? b.…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: A small class has 9 students, 5 of whom are girls and 4 of whom are boys. The teacher is…

A: GivenNo.of girl students=5No.of boy students=4Total no.of students=9

Q: Sara draws the 4 of hearts from a standard deck of 52 cards. Without replacing the first card, she…

A: Given, Sara draws the 4 of hearts from a standard deck of 52 cards without replacing. a) we know…

Q: A card is drawn from a well-shuffled deck of 52 cards.. Find the probability of drawing a 7 or an 8,…

A: There are 52 card in the deck in which they divided into two color i.e red(26) and black (26). These…

Q: At a hot air balloon festival, Brooke made note of how many passengers were in each balloon and the…

A: Given, Blue Yellow TOTALS 1 passenger 2 1 3 2 passenger 4 6 10 TOTALS 6 7 13

Q: An ice-cream company did a study on preferred ice-cream flavor. The results of the study are shown…

A: a. The contingency table is, Vanilla Chocolate Other Total Children 3 2 1…

Q: There are 15 M&M’s in a bag: 6 red, 5 blue, 3 green, and 1 yellow. If you draw a green M&M first and…

Q: A jar contains 3 white marbles, 4 orange marbles, 6 yellow marbles, and 5 black marbles. If a marble…

A: A jar contains number of marbles 3 white, 4 orange, 6 yellow, anf 5 black marbles total number of…

Q: Suppose you have 10 tennis balls and you randomly pick some number of them. What is the probability…

A: Given the event that there are 10 tennis balls and one randomly pick some number of them.

Q: At a hot air balloon festival, Chandler made note of how many passengers were in each balloon and…

Q: One card is randomly selected from a deck of cards. Find the odds against drawing a red seven. The…

A: Total no.of cards=52no.of cards which are a red seven=2no.of cards which are not red seven=50

Q: Think of 12 face cards (four kings, four queens, and four jacks) from the four suits. What is the…

A: We have to find given probabilities

Q: What is the probability of getting either a diamond or a jack when drawing a single card from a deck…

A: Total cards (T) = 52Jack cards (J) = 4 Diamond cards (D) = 13Diamond and Jack cards (J and D) = 1

Q: A card is chosen from a deck of 52 cards. It is put back in the deck and a second card is chosen.…

A: Solution: A standard deck of contains 4 ace cards and the number of cards numbered 5 are 4. Here,…

Q: You are drawing one card from a standard deck of 52 cards. (Give your answer as a fraction, you do…

A: 1) Total number of cards =52 Number of black cards =26 Number of face cards =12 Number of black and…

Q: The mathematics faculty at a college consists of 11 professors,12 associate professors, 9 assistant,…

A: The mathematics faculty at a college consists of: 11 professors 12 associate professors 9 assistant…

Q: The probability of being dealt the king of hearts is (Type an integer or a simplified fraction.)

A: There are 52 cards in the deck divided into two colour i.e red(26) and black (26). These black cards…

Q: In a poker hand consisting of 5 cards, find the probability of holding (a) 3 jacks; (b) 3 clubs and…

A: Given that ,In a poker hand consisting of 5 cards .We have to find the probability of holding(a) 3…

Q: A committee of four is chosen from six accountants and eight actuaries. Find the probability that…

A: We have given that Number of Accountant = 6 Number of Actuaries = 8 Total number of people = 8+6 =…

Q: One card is drawn from a well-shuffled deck of fifty-two cards (no jokers). (a) Find the…

A: (a) The probability formula is, Probability=Number of favourable outcomesTotal outcomes A standard…

Question

Here is a table showing all 52 cards in a standard deck.

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 face card?

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

Color
Red Hearts A 2♥ 3♥ 4♥
Red Diamonds A
Black Spades A
Black
Suit Ace Two Three Four Five Six Seven Eight Nine Ten
7♥
10♥
7♦ 8 9
64 74 84 94 104
6% 7% 8 9 10 J
2
34
24 36
3
Face cards
Jack Queen King
Q♥ K♥
10 J♦ Q♦ K♦
QA KA
Q K&
Clubs A 2

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Given data :

Step 2: Part a :

Step 3: Part b :

Step 4: Part C :

Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A bag contains 26 tiles, each with a different letter of the alphabet written on it. You choose 3 tiles from the bag without looking. What is the probability that you choose the tiles with the letters A, B, and C? Enter your final answer as a fraction in simplest form.
How would I approach this problem?
A box contains 3 white, 2 red, and 5 black marbles. One marble is chosen at random, and it is not black. Find the probability that it is white. (Enter your answer as a fraction.)
You own 11 CDs. You want to randomly arrange 10 of them in a CD rack. What is the probability that the rack ends up in alphabetical order? Be sure to leave your answer as a fraction in order to earn credit. There is a up in alphabetical order. probability that the rack ends
(L&K 4.3) Suppose that X and Y are jointly discrete random variables with 2 p(x, y) = { n(n+1) for x = 1, 2, ..., n and y = 1, 2, ..., x, 0 otherwise. Compute the pmfs px (x) and py (y) and determine whether X and Y are independent.