m past records that 10% of passengers arriving at Islamabad international airport are not properly vaccinated against yellow fever. 8 passengers are randomly selected to check whether are vaccinated. What is the probability that 2 are not vacci

Q: A coin is tossed 10 times. What is the probability of getting 4 tails and 6 heads?   Round your…

A: if a coin is tossed than probability of getting a tail is 12i.e p=P(getting a…

Q: What is the probability of drawing a red or blue marble out of a bowl with 10 red, 6 blue, 9 green?

A: Given that,no.of red marbles=10no.of blue marbles=6no.of green marbles=9Total no.of marbles=25

Q: What is the probability of throwing a total of 8 with 3 dice ?

A:

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 fair die is rolled 12 times. What is the probability of rolling a 4 on the die 4 times?

A: A binomial probability distribution has following properties. There are only 2 possible outcomes of…

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: We send 200 questionnaires by mail to carry out a survey. We know that the probability that a person…

A: According to the given information,Sample size, n = 200Probability of success, p = 0.32Let X be a…

Q: What is the probability of randomly selecting a 3-children family with two girls?

A: We will first list all possible outcomes in the sample space, then we will use following definition…

Q: Suppose the first generation Apple iPad has 5% chance of being defective. What is the probability…

A: From the provided information, Apple iPad has 5% chance of being defective that is p = 0.05 Sample…

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 7 seeds are planted,…

A:

Q: What is the probability that a randomly selected score exceeds 1170?

A: Let X be the SAT score ( for verbal and math).It is given that X has normal distribution with mean…

Q: 10 years ago, high levels of lead in blood put 83% of children at risk. Now only 8% of children are…

A: Introduction: Denote p as the true population proportion of children who were at risk 10 years ago,…

Q: Suppose you flip a fair coin 10 times. What is the probability of getting at least 8 heads? How does…

A: Answer:- Given, A fair coin flip 20 times.  Then , probability of getting a head , P(H) =…

Q: What is the probability of selecting one person at random who is a smoker?

A: From the provided information, Total person = 100 Number of persons who smoke = 54

Q: probability of drawing a heart card from a standard deck of playing cards?

A: there are 4 suits of cards, each suit have 13 cards

Q: What is the probability that out of 12 students on a swim team, they will line up from youngest to…

A:

Q: A nylon connector manufacturing plant yields 16 % defective items. If 1000 connectors are randomly…

A:

Q: t is the probability of drawing two red cards from a standard deck of 52 playing cards without…

A:

Q: A jar has 6 orange marbles and 10 red marbles. What is the probability of drawing two orange marbles…

A: We have given that  A jar has 6 orange marbles and 10 red marbles. Total number of marbles = 16

Q: Describe an assumption that we are making about the distribution of the beans after “frolicking,”…

A: When marked beans are added back to the population in the cup, the researcher ask to 'frolic' or mix…

Q: Last Fall Semester, 36% of freshmen who applied for football season tickets did not receive tickets…

A: Obtain the probability that more than 40% of those sampled did not receive tickets for all home…

Q: What is the probability of picking three spade face cards or two red cards?

A: Here we have to find probability of picking three spade face cards or two red cards

Q: What is the probability that, in a simple random sample of 500 in the US, fewer than 30 have blood…

A:

Q: A company gets 5 letters of complaint (in average) per day. What is the probability of having 4…

A: Given :-   A company gets 5 letters of complaint (in average) per day , so λ=5  probability of…

Q: In 2021, 500 teachers in GCPS were surveyed. 230 teachers surveyed were Science teachers, 200…

A: Given: N=500 N(S)= 230 N(M)=200  Half of the teachers teaching Math also teach a science subject.…

Q: What is the probability that among the students in the sample exactly 2 are female.

A:

Q: According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with…

A:

Q: A new surgery is successful 80% of the time. If the results of 6 surgeries are randomly sampled,…

A:

Q: Time magazine reported that when 19,218 gas masks from branches of the military were tested, it was…

A: The number of masks are tested is 19,218.

Q: A manufacturer of aspirin claims that the proportion of headache sufferers who get relief with just…

A: Givenproportion(p)=0.634sample size(n)=430Mean(μp^)=p=0.634standard…

Q: What is the probability of drawing two red cards from a standard deck of 52 playing cards?

A:

Q: Breast cancer occurs in 2% of all American women. Mammograms used to detect breast cancer typically…

A:

Q: What is the probability of getting 6 or more girls in 8 births

A:

Q: According to the Center for Disease Control (CDC), the percentage of boys who are diagnosed with…

A:

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.