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

Math

Probability

A card is drawn at random from a deck of playing cards. What is the probability that it is a king or a red card?

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 7ECP: You draw one card at random from a standard deck of 52 playing cards. What is the probability that...

See similar textbooks

Related questions

Q: Probability Question required solution

A: We have to check whether , X and Y are independent First we will find out the marginal probability d...

Q: I need the full solution,

A: Given: The data of a survey on how much trust people place in the information they read on the inter...

Q: 0.16 fity of the stocks will increase in value is 0.16 (or 16%). A Coach has 6 players that will joi...

A: X = Number of players who win

Q: Ther resulls test for both cliseased are Hocbitabulat edl in a sc ard normal -lable subjet. complete...

A: Given: The provided table represents the results of a screening test for both diseased and normal su...

Q: Ages Number of students 15-18 10 19-22 7 23-26 10 27-30 9 31-34 5 35-38 8 Based on the frequency d...

A: Relative frequency = FrequencyTotal frequency

Q: A wallet containing four P100 bills, two P200 bills, three P500 bills, and one P1,000 bill. Construc...

A: The sample space formed is , S: 100,100,100,100,200,200,500,500,500,1000 Probability for the given s...

Q: Approximately 90% of all people are right-handed. Consider a grouping of ten people. Assume that the...

A: Given information- We have given approximately 90% of all people are right-handed. P = 0.90 Let X is...

Q: Eight percent of the population is infected with Herpes simplex-2 virus (HSV2). If you select fourin...

A: It is given that 8 % of the population is infected with Herpes simplex-2 virus (HSV2). Let p = proba...

Q: Answer the following. (20 points) L The officers of the student residence halls, along with their ag...

A: Given : Event A be the person is at least 18 years of age A = {Carlos , Donna , Fatima , Gerry , Is...

Q: Apex Learning -Courses ing.com/public/activity/3002003/assessment L 3.2.3 Qulz: Matrix Addition and ...

A: Given information: Matrix A=64-15-70321

Q: (b) 3 Cards are drawn in succession without replacement from an ordinary deck. Find the probabilit...

A: Using the conditional probability we can write: P(A1∩A2∩A3)=P(A1)P(A2|A1)P(A3|A1 and A2) There are 2...

Q: If the joint distribution of X and Y is given by: f(x, y): = { kx*y (kx²y__0<x< 3, 0< y < 3, x + y< ...

A: From the properties of density function, we know : ∫xf(x).dx=1 1=∫x∫yf(x,y).dy.dx1=∫03∫03kx2y.dy.dx1...

Q: Explain with details. Ty

A: The probability distribution of the data is, Value of x of X P(X=x) -5 0.10 3 4 5 0....

Q: The probability of a successful merger with a larger firm is 0.6. Given that a merger is successfult...

A: The probability of a successful merger with a larger firm is 0.6.

Q: A type of elevator has a maximum weight capacity Y1, which is Normallydistributed with mean 2300 kg ...

A: Given, A type of elevator has a maximum weight capacity Y1, which is Normally distributed with mean ...

Q: I = 8

Q: A dice is rolled 5 times. How many possible rolls are there? Determine the values of the possible ou...

A: A dice is rolled 5 times. Each die has 6 equally likely outcomes. Thus, after rolling a die 5 times ...

Q: Probability Question: In a bolt factory, machines A, B and C manufacture 25, 60 and 15 percent of th...

A: Given, P(A) = 25/100, P(B) = 60/100, P(C) = 15/100 P(D|A) = 5/100, P(D|B) = 4/100, P(D|C) = 2/100 wh...

Q: Please show step by step explanations. Thank you. Let A and B be two events in a sample space for ...

A: 1. For any two events A and B, it is known that P[A ∪ B] = P[A] + P[B] – P[A ∩ B].

Q: Suppose that a market research firm is hired to estimate the percent of adults living in a large cit...

A: Given data, n=500 x=421 sample proportion p=xn=421500=0.842z-value at 98% confidence is Zc=2.326

Q: Four numbers are randomly selected from a beaker of balls numbered 1 through 35. How many combinatio...

Q: Please solve step by step.

Q: The experience of a house-agent indicates that he can provide suitable accommodation for 75% of the ...

A: The Agent can provide suitable accommodation for 75% of the clients who come to him. So, probability...

Q: Suppose that the login times to a computer network follows a Poisson process with an average of 4 lo...

A: Given Data: Let X represent number of login per minute X~ Poi(4) Let Y represent number of logins ...

Q: An agriculture researcher plants twenty five plots with a new variety of corn. The average yielded f...

A: Given that, Critical value: By using the z-tables, the critical value at 10% level of significanc...

Q: List 7 ways of representing data

A: Data can be represented using tables, charts and graphs. Different ways of graphical representation...

Q: According to the spanish Ministry of Health, the probability of a woman developing cancer over a lif...

Q: ! Variable Xis to be modeled using a uniform distribution. The lower bound value is 5, and the upper...

Q: Suppose that the mean hourly wage of all employees in a large semiconductor manufacturing facility i...

A: Given data,μ=50σ=10If n=256P(48<X<52)=?

Q: Let the weights of 1 kg tea boxes filled with an automatic machine have a normal distribution with a...

A: Let X be the random variable representing the weight of tea box. The mean and standard deviation is ...

Q: Let the random variable X fit uniformly in the interval (-1,1). Find the distribution of the random ...

A: Given: The random variable X follows a uniform distribution in the interval (-1,1). Let Y=X2 Mathema...

Q: World Health Organization states that 1500 cals is the average daily calorie intake for the people i...

A: Given that sample size n= 100 Mean = x¯ = 1726 cal Standard deviation = s = 900 cal

Q: Why is this 175 and not 75??

A: Given,

Q: Frank and Joe are planning to have 3 children. What is the probability that Frank and Joe will have ...

A: Given that, Frank and Joe are planning to have 3 children.

Q: We toss a coin 3 times and record the results in the sequence they occur. Write the sample space dow...

A: Given that the coin is tossed 3 times. So the sample space is= {HHH, HHT, HTH, HTT, THH, TTH, THT, ...

Q: Calculating the 3rd moment for Poisson distribution.

A: Solution : Let, X ~ P( λ) ∴P (X =x) = e-λλxx! : x = 0,1,2,3,... and 0 ≤λ ∞ MGF of Poiss...

Q: Rajani can ride her skateboard 2 miles in 10 minutes. How many miles can she ride her skateboard in ...

A: Answer is 12 miles (because 2*6= 12 and 10*6= 1 hour)

Q: Write the set of letters in the word 'allowances' using the most concise method where A is the set...

A: Write the set of letters in the word 'allowances' using the most concise method where A is the set...

Q: 1. Let (X) be a simple random walk that starts from X, = 0 and on each step goes up one with probabi...

A: Hello thankyou for the question As per the honor code, we are allowed to answer three parts at a tim...

Q: The grades in an exam have a normal distribution with µ=75 averages and o=8 stand deviation. The tea...

A: 4. Given that μ=75 and σ=8 The teacher given A to the students who score 90 and above. Consider, the...

Q: ne event under the given sample space S = {30, 31, 32, 33 SA = {32, 34, 36, 38}, B = {30, 33, 36, 39...

A: The sample space is given as S=30,31,32,33,34,35,36,37,38,39 The event A is given by A=32,34,36,38 ...

Q: The lifetime of an electronic deivce is modeled as an exponential random variable. If12% of the devi...

Q: A2. Suppose that the probability that a student studies for the midterm is 0.72. Of those who study ...

A: It is an important part of statistics. It is widely used.

Q: 1. The following table shows hypothetical data on the frequency of opioid use among adult male andfe...

A: A: Being Male B: having used opioids 100 times or more before the first overdose P(A) = 75/111 =...

Q: :) To determine whether or not they have a certain disease, 256 people are to have their blood teste...

A: Given, It is given that a poold test is conduct for each group having 16 people and if the test resu...

Q: Determine whether ⊂, ⊆, both, or neither can be placed in the blank to make the following true {pump...

A: {pumpkin seeds, pinto beans} has 2 elements. {cranberries, zest, pinto beans, Chambord, pumpkin seed...

Q: At a university with 1,000 business majors,there are 200 business students enrolled in an introducto...

A: Number of business majors in university is 1000. Number of business student enrolled in an introduct...

Q: The grades in an exam have a normal distribution with μ=75 averages and σ=8 standard deviation. The ...

A: Let us denote: X= the grades Given that X follows a normal distribution with mean=75 and standard de...

Q: In a survey, the mean weight of 1032 rats was calculated to be 132 gr. The standard deviation of the...

A: Given data,n=1032μ=132s=3P(X<124.5<X<139.5)=?

Q: An epidemiologist found five cases of “big toe cancer” in the Yukon Territory. Because there were on...

A: The cross table obtained from the data is: Control Yes Control No Case Yes 1 1 Case No 2 1

Concept explainers

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.

Question

A card is drawn at random from a deck of playing cards. What is the probability that it is a king or a red card?

Expert Solution

Step 1

Given: A card is drawn at random from a deck of playing cards.

Number of kings in a deck of cards=4 (2 Red, 2 Blue)

Number of red cards in a deck of cards=26

Since out of the 4 kings 2 of them are red and 2 of them are black so,

$\begin{array}{rcl} F a v o u r a b l e o u t c o m e s & = & N u m b e r o f k i n g o r r e d c a r d s \\ = & N u m b e r o f k i n g c a r d s + N u m b e r o f r e d c a r d s - N u m b e r o f r e d k i n g c a r d s \\ = & 4 + 26 - 2 \\ = & 28 \end{array}$

Total number of cards=52.

Step by step

Solved in 2 steps

Knowledge Booster

$Fundamental Counting Principle$

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.