If a coin is tossed 4040 times and heads and tails are equally likely, then the probability of obtaining at least 2040 heads is equal to

Q: A fair die is rolled four times. What is the probability of obtaining no 2​'s?

A: Given a fair die rolled four times.

Q: Suppose the average number of zebra seen on a 2-day safari is 5. What is the probability that…

A: Given that the average number of zebra seen on a 2-day safari is 5. So, the average number of zebra…

Q: Hospital records show that of patients suffering from a certain disease, 35% die of it. What is the…

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Q: A die is rolled 8 times. What is the probability of getting at least one 5?

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Q: When a single die is rolled, what is the probability of getting a number less than 6.

A: If a single die is rolling then sample space (s) is,  s = { 1, 2, 3, 4, 5, 6 } = 6 outcomes Then,…

Q: If the average number of visitors to a bank is six people per minute, then the probability of two…

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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: If two fair dice are rolled, find the probability that the sum of the dice is 10, given that the sum…

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Q: If the probability is 0.4 that a student passes all his classes,what is the probability that out of…

A: Given: p = 0.4 n = 19 This is the binomial distribution.

Q: A coin is flipped repeatedly, and the number of tails is considered as the success. Determine the…

A: The number of trials x required to get total r number of successful trial is the negative binomial…

Q: An archer has a %25 chance of hitting the bullseye on the target. What is the probability that the…

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Q: Assuming boys and girls are equally likely, find the probability of a couple having a baby girl when…

A: The probability of having a boy=1/2 The probability of having a girl=1/2 P(couple having a baby girl…

Q: A coin is tossed 3 times. The probability of getting exactly two heads is

A: Here given that A coin is  tossed 3-times

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: If you roll a die twice, what is the probability that you get two sixes in a row?

A: Obtain the probability that you get two sixes in a row. The probability that you get two sixes in a…

Q: A dice is rolled twice. What is the probability of showing an even number on both the dice?

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Q: If an event has a 1/50 chance of occurring, what is the probability that the event will occur three…

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Q: A coin is biased in such a way that a head is twice as likely to occur compared to a tail. What is…

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Q: A six-sided die is weighted so that rolling a two, four, or six is equally likely. In addition,…

A: Given data: The expression for the probability of rolling a two, four, or six is equally likely…

Q: if eight coins are flipped 5 times what is the probability of obtaining at least one ​head?

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Q: if the probability is 0.4 that a student passes all his cases, what is the probability that out of…

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Q: An Omani family has 3 children, then the probability that the three children will be al| boys is…

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Q: In a small private​ school, 3 students are randomly selected from 19available students. What is the…

A: We have to find total ways to pick 3 students from 19 students I. e 19C319C3= (19 * 18 * 17) / (3 *…

Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class,…

A: We have given the  that  10 males  30 females  Total = 40

Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9​, given that the…

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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: 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 the probability that a bowler will bowl a strike is 0.7, what is the probability that he will get…

A: Binomial distribution: A binomial distribution is used to calculated the probability of a success or…

Q: a fair coin is tossed three times. what is the probability of obtaining at least two tails?

A: Let S be the number of outcomes when the coin tossed three times and A be the possibilities to get…

Q: If a biased coin has a probability of heads that is twice the probability of tails and is flipped…

A: For a biased coin, Consider the probability of occurring tails = x The probability of heads is twice…

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: A fair coin is tossed six times. What is the probability of obtaining at least five ​tails?

A: From the given information, the number of times tossing a coin is 6. The probability of getting a…

Q: If a seed is planted, it has 75% chance of growing into healthy plant. If 12 seeds are planted,…

A: Given that, 75% chance of growing into healthy plant.  Sample size = 12

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: A coin was tossed 4 times ,the probability of getting 4 tails :

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Q: If Omar can hit the target 4 times in 5 shots, suppose he fires 4 shots to the target, then the…

A: Correct answer is (b) 0.0272

Q: A mail-order company receives an average of 7 orders per 350 solicitations. If it sends out 50…

A: A mail-order company receives an average of 7 orders per 350 solicitations. p= 7/350= 0.02

Q: A six-sided die is rolled 5 times, what is the probability of rolling 4 less than 3

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Q: A fair die is rolled two times. What is the probability that both rolls are 6?

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Q: If an event has a probability equal to 0.2, what does this mean?

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Q: If two fair dice are​ rolled, find the probability that the sum of the dice is 9,given that the sum…

A: Given: Two fair dice are rolled. The objective is to find the probability that the sum of the dice…

Q: A fair die is thrown 25 times. What is the probability of getting at least 8 “fives?”

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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: If Omar can hit the target 4 times in 5 shots, suppose he fires 4 shots to the target, then the…

A: P(hit) = 4/5 P(miss) = 1/5 = p n = 4 shots Distribution : Binomial Random variable = X = no. of…

Q: How many rolls of two dice are needed so that the probability of rolling a double six within this…

A: Given, number of die, n=2 total number of ways=36 The binomial distribution formula is…

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.