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

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: 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: A basket contains 7 red marbles annd 3 white marbles. Three marbles are drawn one after the other.…

A: Here, the sampling method is not specified. The required probability is calculated based on sampling…

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: 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: 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: Suppose a jar contains 648 red marbles and 292 blue marbles.  If you reach in the jar and pull out 2…

A: A jar contains 648 red marbles and 292 blue marbles, there are totally 940 marbles. Two marbles are…

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: . Find the probability that you get exactly 14 green cubes and exactly 12 orange cubes.

A:

Q: Three balls are selected randomly from a bag containing 4 red balls and 7 blue ones. Find the…

A: From the provided information, Red balls = 4 Blue balls = 7 Total balls = 11

Q: An urn contains three blue balls and five green balls. Another urn contains four blue balls and five…

A:

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: Find the probability of 3 coins showing all heads when tossed simultaneously.

A:

Q: Marisa will flip a coin 4 times. What is the probability she will land on head every time?

A: When a coin is tossed the probability of getting heads =1/2 Marisa will flip a coin 4 times P(she…

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: 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.