Question

An automobile manufacturing plant produced vehicles today: were trucks, were sedans, and were vans. (each vehicle falls into only one of these categories.) plant managers are going to select two of these vehicles for a thorough inspection. the first vehicle will be selected at random, and then the second vehicle will be selected at random from the remaining vehicles. what is the probability that the first vehicle selected is a sedan and the second vehicle is a van? do not round your intermediate computations. round your final answer to three decimal places.

Answer 1

The probability of selecting a sedan first and a van second from a production batch would be computed using conditional probability, but the necessary specific production numbers are not provided to calculate an exact answer.

Step-by-step explanation:

The question asks for the probability that the first vehicle selected is a sedan and the second vehicle is a van from an automobile manufacturing plant's production of the day. To calculate this, you would typically use the formula for conditional probability, P(A and B) = P(A) * P(B given A), where A is the event of selecting a sedan first and B is the event of selecting a van second. However, the specific numbers of each type of vehicle produced that day are not provided. In an actual scenario, if the plant produced S sedans and V vans out of a total of T vehicles, the probability of selecting a sedan first would be S/T, and the probability of selecting a van second would be V/(T-1) because one vehicle has already been removed from the pool. The overall probability would be (S/T) * (V/(T-1)). Without the specific numbers, a final numerical answer can't be given.