During the year about 15 percent of the population carry the flu virus. Supposed that 5 children were randomly selected. What is the probability 3 of them have the flu virus?

Q: What is the probability of rolling a 3 on a number cube and choosing a heart from a deck of cards?

A: Recall:  P(A and B)=P(A∩B)=P(A)×P(B)

Q: If 14% of active duty soldiers in the U.S. Army are women, find the probability that if four…

A: Let X represent the random variable   n=4 p=0.14   X~ Binomial (4, 0.14)

Q: A coin is tossed 3 times. What is t

A: From the given information, A coin is tossed 3 times. Total outcomes is 2^3=8 (HHH, TTT, THH, HTH,…

Q: You roll a​ six-sided die. What is the probability of rolling a 6 or a number greater than 3? What…

A: We want to find the probability

Q: In a town, 61% of adults have health insurance. What is the probability that 5 adults selected at…

A: The binomial distribution is a discrete probability distribution. It has n independent Bernoulli…

Q: A fair coin is tossed 5 times. What is the probability of getting exactly 3 heads?

A:

Q: A true-false quiz has 7 questions. A student makes random guesses on each question. What is the…

A: Given Information: A true-false quiz has 7 questions. A student makes random guesses on each…

Q: Select one card from a deck of well-shuffled cards. What is the probability we select a Diamond or a…

A: Deck consists of 52 cards. n(S)=52 Let D be event that card is diamond. n(D)=13 Let H be event that…

Q: You roll a single dice two times. What is the probability of rolling zero even numbers?

A:

Q: We throw five symmetrical coins. Calculate the probability of getting no more than two eagles.

A: From the given information we find the probability.

Q: If you flip a coin 3 times, what is the probability of getting two heads?

A: If you flip a coin 3 times. Using Probability formula,

Q: You toss a coin 6 times. What is the probability of not having the coin land on heads exactly 4…

A: Given that  Number of times coin tossed (n ) = 6 Assuming it is a fair coin , chance of occurring…

Q: ability of getting "six" at

A:

Q: In a state legislature the elected representative include 17 Democrats, 13 Republicans, and 4…

A: Given  Elected representatives(34)=17(Democrat)+13(Republican)+4(independent)

Q: A student rolls a die 15 times. What is the probability of getting three 6? First calculate the…

A: If we throw a die once, we get sample space as S={1,2,3,4,5,6}. So, the probability of getting 6…

Q: Find the probability of 62 or more participants believing life on other planets is plausible

A: From the original problem, It is given that the number of observations are independent with…

Q: A jar contains 20 berries, 14 sweet and 6 sour. If you pick a berry at random, what is the…

A: Given that, A jar contains 20 berries 14 sweet and 6 sour.

Q: In a small private school, 3 students are randomly selected from 11 available students. What is the…

A: Assume that all the 11 available students have different ages. S ne the sample space of selecting 3…

Q: A coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

Q: A bag contains 44 U.S quarters and six Canadian quarters. If seven quarters are randomly picked from…

A: Given that. Total quarters=44+6=50 U.S quarters=44 Canadian quarters=6 Find P(at least 1 Canadian…

Q: Five girls and 6 boys on the debate team lined up randomly to walk on stage.  What is the…

A: Given: Number of boys = 6 Number of girls = 5

Q: In a small private school, 5 students are randomly selected from 12 available students. What is the…

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: What is the probability of having 3 boys given the oldest is a boy?

A: The theory of probability has its origin in the seventeenth century. The king of France who…

Q: Billy selects some cards from a standard 52 card deck.  What is the probability that he selects 1…

A: Given data: The total numbers of cards in the playing deck are n=52. The numbers of hearts are h=13.…

Q: Three people are selected for a committee from 7 Democrats and 3 Republicans. What is the…

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

Q: 8 people are taking a driving test. If the probability of passing the test is 0.75. What is the…

A:

Q: a small private school, 4 students are selected from 16 available students. What is the probability…

A: Given data, Total Number of students n=16 Number of students selected is r=4 What is the probability…

Q: A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble…

A: Given that,  4 green, 5 blue, 1 yellow, and 2 orange Marbles.  Total number of marbles = 4+5+1+2 =…

Q: There are 10 000 laptops in a warehouse, out of which 10 are defective. Two laptops are selected at…

A: We have given that  Total number of laptops 10000 , out of which 10 defective. Two laptops are…

Q: A die is thrown twice. What is the probability of getting the sum 7?

A: Total possible outcomes when A die is thrown twice = 36

Q: In a study done in my chicken coop, 82% of my birds enjoy eating earwigs. Choose 7 birds at…

A: Let X denote the number birds enjoy eating earwigs. Then X follows a Binomial distribution with n=7…

Q: If you toss 6 coins, what is the probability of all 6 coins matching?

A:

Q: What is the probability of having 4 boys given the oldest is a boy?

A: Solution

Q: What is the probability of rolling a die and rolling a 2 or a 3 or a 4?

A: The probability of an event can be defined as follows:

Q: An urn contains 5 yellow marbles, and 4 green marbles. If one marble is selected. Determine the…

A: Given,no.of yellow marbles=5no.of green marbles=4total no.of marbles=9

Q: An experiment consists of tossing a fair coin 3 times. Find the probability of getting at least two…

A:

Q: Jacks were drawn 2 out of 4 times. Calculate the experimental probability.

A:

Q: A tennis club consists of 10 boys and 8 girls, of which 4 boys and 2 girls are randomly selected to…

A: The objective of the question is to find the probability that Aiden, Brian, and Diana are chosen to…

Q: fair coin is flipped 100 times . Find the probability that at least 75 heads occur

A: n =100 , p = 0.5 np = 50 > 10 n(1-p) = 50 > 10 =======================

Q: From a bag containing 5 nickels, 8 dimes, and 7 quarter's, 5 coins are drawn at random all at once.…

A:

Q: A fair coin is tossed 200 times. Find the probability that heads will show 100 times.

A: