A coin has a probability of p = 0.5 for getting a head in each toss. And it was tossed 6 times. What is the probability that there were 2 tails?

Q: In a 30-day period, an average of 6 thefts occur in a store. Within the next 10 days, a) What is…

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Q: suppose you toss a coin 100 times and get 95 heads and five tails. what is the estimated probability…

A: Solution

Q: What is the probability that a randomly selected contestant tried tapping the ground given that the…

A: Since , the table given below,    5-10 worms 11-20 worms Total Tapping the ground 14 10 24…

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Solution: Let X be the number of children are girls and n be the sample number of children. From the…

Q: A student receives, on average, 7 text messages in a 2-hour period. What is the probability that the…

A: To find the probability

Q: In a class with 7 boys and 9 girls, Three students are selected at random. The probability…

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Q: In a class of 6 girls and 5 boys, what is the probability of having girls and boys seated…

A: The provided information is  6 Girls 5 Boys  The arrangement is Girls on first seat and girls on the…

Q: What is the probability two people in a classroom of 25 have the same birthday?

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Q: A fair coin is flipped 8 times. What is the probability of obtaining at least one H?

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Q: Assume that the coin is flipped 8 times. What is the probability that both heads and tails occur?

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Q: A coin is loaded so that the probability of a head occurring on a single toss is 5/6. In three…

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Q: A coin is loaded so that the probability of a head occur getting all heads or all tails?

A: Introduction: The chance of an incident occurring is outlined by chance. There are several…

Q: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of 8?

A: Solution-: A pair of dice is rolled 10 times. What is the probability of getting exactly 6 rolls of…

Q: A coin is tossed four times. What is the probability that tails appears on all four tosses?

A: Given data: The number of times a coin tossed is n=4. The expression for the total number of…

Q: A fair coin is tossed 25 times. What is the probability that there will be at least 20 heads?

A: Let, X= number of heads  probability of getting a head (success)= p =1/2 =0.5 Probability of…

Q: A coin is thrown 3 times. What is the probability that ?at least one head is obtained

A: Event: In probability theory, an event is an outcome or a set of outcomes of a random experiment to…

Q: If two fair dice are thrown, find the probability that the sum is between 6 and 8, inclusive.

A: Total number of possibilities:

Q: Three coins are tossed, what is the probability of showing 2 tails and one head?

A: Solution:   SAMPLE SPACE IS :H-H-HT-H-HH-T-HH-H-TT-H-TT-T-HH-T-TT-T-T

Q: A coin is flipped 5 times. What is the probability that both heads and tails occur?

A: Assuming the coin flipped is an unbiased coin, P1 Head=P1 Tail=0.5

Q: f you flipped a coin and it lands on heads 7 times in a row, what is the probability it will land on…

A: In the flipping of a coin, all the flips are independent.  If the coin is flipped 7 times, the odds…

Q: A softball pitcher has a 0.431 probability of throwing a strike for each pitch. If the softball…

A: Let the R.V X denotes the number of throws and it follows the binomial distribution with parameters…

Q: A biased coin, when tossed 7 times, has the same probability of obtaining 2 heads out of 7 as it…

A: Let us suppose that the probability of head = p Define the Random Variable, X : Number of heads in 7…

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

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Q: A child flips 3 coins. What is the probability that the child flips 1 or 2 tails (based only on what…

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Q: Suppose that a person rolls two balanced dice three times in succession. Determine the probability…

A: Here Given two balanced die are rolled  so Probability of each outcome is  same And each is rolled…

Q: A coin is tossed 5 times. What is the probability that (a) at most 2 heads will occur? (b) At least…

A: Let us denote: X=the number of headsn=sample size=5p=the probability of getting a head=0.5So, X…

Q: A shop has 72 customers in two hours . What is the probability that at most three customers will go…

A: There are 72 customers in 2 hours (120 minutes). So, average number of customers in a minute =…

Q: What is the probability that the sum is 2 or at least one die shows a 6 in rolling a pair of dice?

A: When rolling a pair of dice the probability that the sum is 2 is: There is only one case for it to…

Q: The Wilson family had 7 children assuming that the probability of a child being a girl is 0.5, find…

A: Let "X" be the girl child in Wilson family

Q: A spinner has an equal chance of landing on either red, blue, green, or yellow. You spend seven…

A: Given colors are red, blue, green, or yellow. So there are 4 colors. The probability of getting…

Q: When 3 fair coins are tossed simultaneously find the probability to get atleast one tail.

A: 2. In the given problem 3 fair coins are tossed simultaneously.

Q: A painting is selected at random from the three Manila painters, what is the probability that it won…

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Q: A die is rolled six times.  What is the probability of obtaining two 5's?

A: Introduction to binomial distribution:Consider a random experiment involving n independent trials,…

Q: The Wilson family had 6 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Let n be the number of children's in a family = 6 Let p be the probability of a child being a girl =…

Q: f seven fair coins are simultaneously tossed in the air, what is the probability

A: When a coin is tossed Probability of getting heads is =0.5 Probability of getting tails is =0.5 If 7…

Q: You pick a letter at random from a 26-letter alphabet. If you pick five letters, with repeating…

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Q: What is the probability that a 6 is obtained on one of the dice in a throw of two dice, given that…

A: From the provided information, Two dice are thrown. Total outcomes = 36

Q: A coin is flipped 4 times. What is the probability of getting at least 1 tail

A: Coin is flipped 4 times ∴ Number of total outcomes, S = 24 = 16

Q: A pair of dice are tossed. What is the probability that doubles are rolled, given that the sum on…

A: Rolling a pair of dices gives a total of 36 outcomes. The sample space, when we roll two dice is…

Q: Find the probability of a 4 turning up at least once in two tosses of a fair die.

A: The probability outcomes of two tosses of a fair die is 1st toss  = 1, 2, 3, 4, 5, 6 2nd toss = 1,…

Q: In a game of Jack n Poy, the player that wins 3 times out of 5 games is declared the winner. suppose…

A: Jack n Poy is a game performed by two players. Here, P(winning one time) = 1/2.

Q: A coin is tossed 5 times. What is the probability that (a) at most 2 heads will occur? (b) at least…

A: Givena coin is tossed 5 times Total no.of possible outomes =25=32sample size(n)=32probability of…

Q: A fair coin is flipped 6 times. What is the probability that at least two heads are flipped?

A: Given:  A fair coin is flipped 6 times.

Q: Assume that the coin is weighted so that a tail is 7 times as likely as a head. The coin is flipped…

A: Given Information: A coin is weighted so that a tail is 7 times as likely as a head.  The coin is…

Q: The Wilson family had 9 children. Assuming that the probability of a child being a girl is 0.5, find…

A: The provided information are: Number of children = 9 Probability of a child being girl (p) = 0.5…

Q: Suppose you toss a coin (heads or tails) three times. If the coin is fair, what is the probability…

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Q: A die is rolled twice. What is the probability of showing a 3 on both rolls?

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Q: The Wilson family had 8 children. Assuming that the probability of a child being a girl is 0.5, find…

A: Given, A family had 8 children and probability of child being a girl is 0.5.

Q: . The probability of a rainy day is .25. Assuming this probability holds for every day, what is the…

A: Given  : The probability of a rainy day is 0.25. Assuming this probability holds for every day . The…