A minesweeper uses a robot to check two routes (A or B) for mines. The probability that the robot will go by route A is 49%. If it goes by route A, the probability of hitting a mine and exploding is 67%. If it goes by route B, the probability of hitting a mine and exploding is 34%. Given that the robot exploded, find the probability that it went via route A. (3 d.p.)

If baguettes have an average length of 30cm and a standard dev of 2cm, then you got a baguette that has is exactly 30 cm in length, determine the probability of you being able to get that exact length. Defend and explain your answer if it makes sense.

A pair of dice is rolled, and the sum of the faces is obtained. Find the probability that the sum is a multiple of 3.

Answer the problem using the Complement Rule of Probability. Von Ryan has three coins and tossed it simultaneously. Find the probability of showing at least one head.

Plzzz solve and choose correct option.

The family Many couples want to have both a boy and agirl. If they decide to continue to have children until they have one child of each sex, what would the average fam-ily size be? Assume that boys and girls are equally likely.

John can take one of two highways, Interstate A and Interstate B, to get to work each day. The probability that there will be a traffic jam on Interstate A on a given day is 0.65, and the probability that there will be a traffic jam on Interstate B is 0.2. The probability that there will be a traffic jam on at least one of Interstate A or Interstate B is 0.8. Determine the probability that both Interstate A and B will be congested. 0.235 None in the list 0.050 0.062 0.765 Submit Answer Tries 0/3 Determine the probability that Interstate B is congested given that Interstate A is congested. 0.250 0.077 0.812 0.062 None in the list Submit Answer Tries 0/3 Determine the probability that there is a traffic jam on Interstate A given that at least one of the Interstates has a traffic jam. 0.062 None in the list 0.250 0.812 0.077

Please help

A company offers guided tours of remote areas of the world. Each tour consists of 20 people. The probability of selling a ticket for any given spot on the tour is 0.86. The costs to the company are approximately the same regardless of the number of people that show up. To offset the risk associated with a tour not filling up, the company purchases a specialized insurance policy. The policy pays 100 for each ticket that is left unsold, up to a maximum of 400. Let P be the amount that the insurance policy pays to the company for a specific tour. Calculate E[P] to the nearest dollar. O 251 O244 O 259 O 267 275

Jack has just been given a ten-question multiple choice quiz in history class. Each question has five answers, of which only one is correct. Since Jack has not attended class recently, he does not know any of the answers. Assuming Jack guesses randomly on all ten questions, find the probability that he will answer six or more of the questions correctly and avoid an F.