A fair coin is flipped 6 times. Find the probability that heads was flipped exactly 4 times.

Q: You roll a standard die 3 times. What is the probability you roll a 6 on the first roll, an even…

A: If standard die is rolled than the possible outcomes ares=(1,2,3,4,5,6)No.of even numbers=3…

Q: A fair coin is flipped 6 times. Find the probability that heads was flipped exactly 4 times

A: The probability of the heads is calculated by the binomial distribution probability mass function.…

Q: Consider a jar of marbles that contains 5 blue, 3 red, 8 green, and 7 yellow marbles. Select a…

A: From given data, P(Green marble)=8/23 P(green marble for the first time before the fourth attempt)=?…

Q: A die is rolled 12 times. Find the probability of rolling no more than 3 threes

A: From the given information, a die is rolled 12 times.The outcomes for the die are 1, 2, 3, 4, 5 and…

Q: If three coins are flipped, find the probability that exactly two heads turn up.

A: Solution: Consider S to be the sample space for the experiment and E to be the number of events…

Q: f obtaining more tails than head

A: Since the number of outcomes with the 4H and 4T is C(8,4)=70, there is an equal possibility for the…

Q: If a coin is tossed 6 times. Calculate the probability of obtaining more tails than heads.

A: Given data: The number of times a coin is tossed n=6. The probability of getting the tail is, p=12…

Q: An urn contains 3 yellow balls and 6 white ball . If Vince chooses 7 balls at random from the urn ,…

A: The number of yellow balls is 3 and the number of white balls is 6.

Q: A single die is rolled eight times. find the probability that 6 appears once or twice.

A: Let X represent the number of times 6 appears n=8 p=1/6   X~ Binomial (8, 1/6)

Q: find the probability that the educator is a female or an associate professor

A: We have given that an educators at a college were classified according to gender and academic rank.

Q: Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second…

A: no.of black cards=26no.of Ace cards=4Total no.of cards=52

Q: Suppose you toss a coin 100 times and get 72 heads and 28 tails. Based on these results, what is the…

A: It is given that No. of heads = 72No. of tails = 28No. of trials = 100

Q: the probability of getting “3”  more than once.

A: Let X be the random variable such that the number of events getting “3”  on die.N: Total number of…

Q: Two marbles are drawn with replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble.…

A: Given,Number of white marbles, n(W) = 3Number of green marbles, n(G) = 2Number of red marbles, n(R)…

Q: A single card is drawn from a deck. Find the probability that the card is either red or a face card.

A: Given a single card is drawn from a deck. To find the probability that the card is either red or…

Q: Two cards are selected from a standard deck with replacement. Find the probability that they are…

A: Given that Total cards=52 Number of hearts cards=13 p=Number of hearts cards/Total cards…

Q: A coin is flipped 3 times. Determine the probability that one tail will result from the three…

A: We have to use Binomial distribution. Binomial distribution : If random variable x follows Binomial…

Q: If you are dealt three cards from a shuffle deck of 52 cards find the probability that all 3 cards…

A: Obtain the probability that all 3 cards are picture cards. The probability that all 3 cards are…

Q: poker hand consisting of 9 cards is dealt from a standard deck of 52 cards. Find the probability…

A:

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: 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: Two dice are thrown 48 times. Determine the probability that 10 points are rolled more than 2

A:

Q: hat is the probability that when three coins are flipped, at least one lands heads? Type your…

A:

Q: A bag contains 6 white and 4 black balls . two balls are drawn at random . Find the probability that…

A: Given: White balls = 6 Black balls = 4

Q: coin is tossed 6 times. Find the probability of getting at least 1 tail.

A:

Q: Suppose five cards are drawn from a deck of cards. Find the probability that all five cards are…

A: It is known that, Number of cards in a deck = 52 Number of heart cards = 13

Q: A bag contains 3 white balls and 5 red balls. If two balls are drawn at random, find the probability…

A: 3 white and 5 red balls

Q: fair coin is flipped 5 times. Find the probability of flipping exactly 4 head

A: Given that  A fair coin is flipped 5 times. (n) = 5  The result may be heads or tails.   We know…

Q: A box contains 6 balls, 2 blue and 4 green. Two balls are drawn at random in succession without…

A:

Q: If four cards are drawn, each card is replaced after it is drawn. Find the probability of getting at…

A: Number of Kings in the deck= 4 Here i am doing without replacement  If 4 cards are drawn without…

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.