In a carnival game, a contestant has to first spin a fair coin and then roll a fair cubical dice whose faces are numbered 1 to 6. The contestant wins a prize if the coin shows heads and the dice score is below 3. Find the probability that a constant wins a prize.

Q: When two dice are thrown, find the probability of getting sum of 10 or 11.

A:

Q: The probability that a bottle will have wieght 593g or less is?

A: Let X denote the bottle weights. Given that X follows N(mean = 600, SD = 6), then Z = (X - mean)/Sd…

Q: Show complete solution. Answer is not an error.  The average number of field mice per acre in a…

A: Given that  The average number of field mice per acre in a 5-acre wheat field is estimated to be 10.…

Q: Find the probability of answering the two multiple choice questions correctly if random guesses are…

A: The probability shows how likely an event occurs.

Q: a. Suppose that Natasha, Monim and Rehan are serving in a restaurant on roster shifting. On a…

A: Given two problems related to Total probability theorem and Bayes' theorem.  We have to find the…

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Find the probability that when a couple has three children, at least one of them is a boy. (Assume…

A:

Q: This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and…

A: hello, thank you for the question. According to our policies can answer only three sub parts at a…

Q: You roll a fair six-sided die twice. Find the probability of rolling a 1 the first time and a number…

A: We can roll 1 in only 1 way.For a die there are 6 possible outcomes.So, the probability of rolling a…

Q: The diagram below is made up of midpoints of sides of concentric squares. What is the probability of…

A: Given diagram is

Q: Kay has an 80% probability of making a free-throw in basket ball, and each free-throw is…

A:

Q: A person randomly rolls two dice repeatedly. Find the probability that the first time the sum is…

A: We have to find given probability...

Q: The probability that a one, two, or six will appear face up on the throw of one die is

A: Suppose one die is rolled. Then its sample space is written as, S=1, 2, 3, 4, 5, 6

Q: Two dice are rolled. Find the probability that the sum of the dice is not more than 6

A: If we roll two dice then there are total 36 outcomes. n=36 we can show the outcomes with the help of…

Q: If you throw a dart at a dartboard in the shape of a regular hexagon of side length 2 feet, what is…

A: From the given information, a dart at a dartboard in the shape of a regular hexagon of side length…

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: When rolling a pair of dice, find the probability of getting a sum of 5

A: Given : Sample space of rolling a pair of dice : S = { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6),…

Q: Find the probability of getting a sum of 6 on two dice if the first die is already shows a 3.

A: Probability : Probability could be a discipline of arithmetic involved with numerical explanations…

Q: Find the probability that the day of the week begins with a T or a W

A: We know, number of days in a week = 7 set of days in a week = {Monday, Tuesday, Wednesday, Thursday,…

Q: Mildred rolls the dice 300 times. Approximately how many times it will be

A: Given information: Total no. of rolls=300favourable outcomes={3,4,5,6}

Q: Two fair dice are thrown. Find the probability that the product is a perfect square?

A: Two fair dice are thrown. Find the probability that the product is a perfect square?

Q: If two points are randomly chosen on the sides of the unit square, find the probability that the two…

A: Let's just take a random point on any 1 side of the square. Let this side be side a. Given that the…

Q: find the probability that the sum of the 2 dice is an even number or a number less than 5

A: When two dice are thrown then these following cases occur  sum Outcomes Number of outcomes…

Q: A pair of dice are tossed twice. Find the probability that both rolls give at most a sum of 6.

A: We have given that,  A pair of dice are tossed twice then the sample space (S) is,  S = {(1,1),…

Q: A sample of liquid has a 10% chance of containing a particular organic pollutant. Assuming that the…

A: The probability that a sample contains the pollutant (p) is 0.10. Sample size (n) = 20

Q: Determine the probability that the rolled dice will result to a multiple of 3 or a square number.

A: It is known that, the outcomes of rolling a die are 1, 2, 3, 4, 5, and 6.

Q: This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and…

A: Sample space is the totality of all the possible outcomes of a random experiment. Suppose we have a…

Q: Each of the questions in this box pertains to rolling a pair of fair dice. Find the probability…

A: For each dice, there are 6 possible outcomes. So when two dice are rolled then the possible number…

Q: Two dice are rolled and someone indicates that the two numbers that come up are different. Find the…

A: Obtain the probability of getting a sum of two numbers is 6.   The probability of getting a sum of…