Mayco, a mail-order department store, has six telephone lines available for customers who wish to place their orders. If the probability is ¼ that any one of the six telephone lines is engaged during business hours, find the probability that all six lines will be in use when a customer calls to a place an order

At a local​ college, four sections of economics are taught during the day and two sections are taught at night. 65 percent of the day sections are taught by​ full-time faculty. 15percent of the evening sections are taught by​ full-time faculty. If Jane has a​ part-time teacher for her economics​ course, what is the probability that she is taking a night​ class? The probability that she is taking a night class is nothing. ​(Type an integer or a​ fraction.)

On a shelf there are 60 novels and 20 poetry books. Person Achooses a book at random off the shelf and leaves with it. Shortly after, Person Bchooses another book at random. Calculate:a. The probability that the book selected by Person B is a novel?b. If it is known that Person B chose a novel: what is the probability that thebook selected by Person A was a poetry book?

Tom has a standard set of pool balls. If he were to draw one ball at random, what is the probability that it will be red or yellow?   Give your answer in its simplest form.

You order sixteen burritos to go from a Mexican restaurant, seven with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.) At least two have hot peppers.

Assume that 50% of the students at the university have taken four years of high school math. Of those with four years of high school math, 60% plan to major in science. Of those without four years, Only 25%  plan to major in science. You stop a student at random. If the student plans to major in science, what is the probability that the student had four years of high school math?

There are two urns, one containing a blue sock and the other a red sock. A person randomly picks a sock. After this, someone puts a red sock in the empty urn. The person again randomly picks a sock and it is the probability that the first sock was red?

An office has three smoke detectors. In case of fire, each detector has probability 0.9 of detecting it. If a fire occurs, what is the probability that at least one detector detects it?