If a fair coin is tossed three times, find the probability of getting heads on the first toss and tails on the second and third tosses.

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of a king…

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Q: If a single card is selected from a deck, find the probability that the card is either a jack or a…

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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: What is the probability that Mike correctly identifies all 3 songs in the correct order?

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Q: If a single 8 sided die is tossed once, find the probability of rolling a 5.

A: Solution: Suppose eight sided dice is rolled once. Then, the sample space is Number of elements in…

Q: When 2 dice are rolled, find the probability of getting a sum less than 5 or greater than 8

A: When a die is rolled, possible outcomes are 1 , 2 , 3 , 4 , 5, 6  we roll 2 dice

Q: If 50 of 250 people contacted make a donation to the city symphony, the probability of outcome of…

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Q: A basketball player has an 80% chance of making each free throw. What is the exact probability that…

A: If you like the solution then please give it a thumbs up.. The Answer is:               Result =…

Q: If two dice are tossed, find the probability that the sum is greater than 5.

A: No. of possible cases when two dice are tossed =6×6 =36

Q: If a die is rolled one time, find the probability of getting a number greater than 8. 1 8

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Q: Assuming a married couple has an equal chance of giving birth to a male or a female child, find the…

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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: If one card is drawn from a standard 52 card playing deck, determine the probability of getting a…

A: Given data, total cards in a deck= 52 Number of jack = 4 (one in each suit) Number of Three = 4 (one…

Q: If 8 adult smartphone users are randomly selected, find the probability that exactly 6 of them use…

A: For a random variable,X~B(n,p) , the pmf is P(X=x)=nCxpxqn-x ; x=0,1,2,...n…

Q: If two dice are rolled one time, find the probability of getting a sum of 6

A: Given information: Number of dices rolled = 2 The probability of getting a sum of 6 has to be…

Q: If 85% of all people have brown eyes and 6 people are selected at random, find the probability that…

A: From the provided information, Sample size (n) = 6 85% of all people have brown eyes that is (p) =…

Q: A football player scores 2 goals out of every 3 penalty kicks. If we ask him to take 4 penalty…

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Q: If the coin is tossed 4 times, what is the probability to get 3 tails and 1 head.

A: Here given coin is biased coin is tossed 4 time . here occurance of head is three times as likely to…

Q: if a box containing 200 light bulbs will have 3% defective bulbs, find the probability that 4 bulbs…

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Q: If one card is drawn from a standard deck, find the probability of getting a black or a face card

A: Given that, Card is drawn from a standard deck, We have to  find the probability of getting a black…

Q: A youth group has 8 boys and 6 girls. If a slate of 4 officers is selected, find the probability…

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Q: die is rolled four times. What is the probability that the four numbers are

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Q: errors per page, on average. What is the probability that on the next page, she will make 4 or more…

A: The mean is given as , μ=2. The formula for Poisson distribution is,PX=x=e-μμxx!. To determine the…

Q: 2. If seven coins are tossed simultaneously, find the probability that they will just have three…

A: Given that  Number of coins tossed (n) = 7 In a fair coin Probability of head = Probability of tails…

Q: If two cards are drawn without replacement from an ordinary​ deck, find the probability of an ace…

A: P(an ace and a 3 being drawn)=?

Q: Brad has to select 5 students from a class of 43 girls and 21 boys. What is the probability that…

A: GivenNo.of girls in a class = 43No.of boys in a class = 21Total no. of boys = 64

Q: If there are 400 errors in a book of 1000 pages, find the probability that a rando chosen page from…

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Q: A number cube is rolled twice. What is the probability of getting a 6 on the first roll, then a…

A: When a dice is rolled then there are 6 outcomes.  So the probability of getting a 6 on the first…

Q: If one of the 255 subjects is randomly selected, find the probability that the person is over 40…

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Q: A coin is flipped 6 times. What is the probability that both heads and tails occur?

A: It is mentioned that the coin is flipped 6 times. Number of sample space is 26=64. Number of event…

Q: If two players play this game

A: Fair means The coin has to get a chance heads or tails is 50-50%. unfair coins having more chances…

Q: if a single 4 sides die is tossed once, find the probability of rolling a number greater than 2

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Q: If two dice are tossed, find the probability that the sum is greater than 10.

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Q: If two dice are rolled one time, find the probability of getting a sum less than 9.5

A: We want to find the probability

Q: If two dice are rolled, find the probability that neither die shows a 5 on it. Probability

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Q: A bias coin is flipped four times. If the probability of ‘heads’ occurring is twice the probability…

A: Given that  A bias coin is flipped four times. (n)= 4 The probability of ‘heads’ occurring is twice…

Q: If two coins are flipped find the probability of getting (i) two heads and (ii) at least one head,

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Q: If three dice are tossed, find the probability that the sum is less than 16.

A: To find the probability that the sum is less than 16 if three dice are tossed. Solution: We know…

Q: If a single fair die is​ rolled, find the probability of a 5 given that the number rolled is odd.

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Q: . If a single coin is flipped four times, find the probability that two or more heads occur.

A: Let p be the probability of getting head. Then p = 0.5 Let X denote the number of heads in four…

Q: A pair of dice is rolled eight times. What is the probability of rolling 2's exactly 3 times?

A: Givena pair of dice  rolled 8 timesn=8p=136=0.028x~Binomial(n=8,p=0.028)

Q: When 2 dice are rolled, find the probability of getting a sum less than 4 or greater than 8

A: Let E be an event. Then the Probability of E =n(E)n(S) where, n(S)= number of points in sample…

Q: A city council consits of five Democrats and five Republicans. If a committee of six people is…

A: Basics:

Q: A basketball player makes an average of 2 free throws out of every three attempts. If the player…

A: Out of total 3 throws, 2 are made by the player. So the probability of making a throw will be ratio…

Q: If two cards are drawn without replacement from an ordinary​ deck,find the probability of a jackand…

A: Multiplication Rule for two Independent events:If the events A and B are said to be independent…

Q: If one of the pedestrian deaths is randomly selected, find the probability that the pedestrian was…

A: here use given data table and basic probability Rule

Q: If two dice are rolled , find the probability that neither die shows a 2 on it . probability =

A: When two dice are rolled the total number of possible outcomes are 36.Here the question is to find…

Q: If two cards are drawn without replacement from an ordinary deck, find the probability of an ace and…

A: In a standard 52-card pack, there are 4 ace cards in it. In a standard 52-card pack, There are four…

Q: If one of the 1156 people is randomly selected, find the probability that the person is a man or a…

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Q: If a 12-sided fair die is rolled twice, find the probability that both rolls have a result of 8.

A: We have a 12 sided fair die. It is rolled twice

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.