When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible arrangements using U for up and D for down. Find the probabilities of each possible outcome. Choose the correct answer below and fill in the answer boxes within your choice. (Type integers or decimals. Do not round.) A. There are two arrangements; UD and DU. The probabilities are P(UD) = and P(DU)= B. There are three arrangements; UU, UD, and DU. The probabilities are P(UU) = P(UD) = P(DU) = C. There are two arrangements; UU and DD. The probabilities are P(UU)= and P(DD)= and D. There are four arrangements; UU, UD, DU, and DD. The probabilities are P(UU) = ☐, P(UD) =, P(DU), and P(DD) = .

For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be 10 or 3. (You may want to use a table showing the sum for each of the 36 equally likely outcomes.) The probability that the sum of the pair of dice is 10 or 3 is (Simplify your answer.)

You purchase a brand new car for $15,000 and insure it. The policy pays 78% of the car's value if there is an issue with the engine or 30% of the car's value if there is an issue with the speaker system. The probability of an issue with the engine is 0.009, and the probability there is an issue with the speaker system is 0.02. The premium for the policy is p. Let X be the insurance company's net gain from this policy. (a) Create a probability distribution for X, using p to represent the premium on the policy. Enter the possible values of X in ascending order from left to right. P(X) (b) Compute the minimum amount the insurance company will charge for this policy. Round your answer to the nearest cent

Question 11: Find the probability that at least one of them gets off on the 5th floor. O .271 O .3 O .336