Single Event Probability

During a land navigation exercise, an instructor maps out 150 possible waypoint coordinates. Of these waypoints, 45 are located in dense forest, 35 are in open terrain, 50 are near water features, and the remaining waypoints are on elevated ridges. If a cadet is randomly assigned one waypoint coordinate, what is the probability that it is located on an elevated ridge? (Express your answer as a simplified fraction)

An aviation squadron has a total of $30$ crew members available for assignment. The squadron consists of $12$ pilots, $10$ mechanics, $5$ medics, and $3$ navigators. If one crew member is randomly selected to lead a safety briefing, what is the probability that the selected member is NOT a mechanic?

An armory has a total of $50$ training rifles on a rack. Exactly $15$ of these rifles are equipped with laser sights. If a recruit is randomly issued one of these training rifles, what is the probability, expressed as a decimal, that they receive a rifle with a laser sight?

A deck of flashcards used for language training contains $50$ cards. There are $15$ vocabulary cards, $25$ grammar cards, and $10$ phrase cards. If a student randomly selects one card from the deck to study, what is the probability that it is a vocabulary card?

A box contains a mixture of red, blue, and green tokens. There are exactly $16$ red tokens in the box. The probability of randomly selecting a red token is $\frac{2}{5}$. If there are $14$ blue tokens in the box, what is the probability of randomly selecting a green token on a single draw?

A maintenance kit contains $12$ metric wrenches, $15$ standard wrenches, $9$ screwdrivers, and an unknown number of pliers. If the probability of randomly selecting a screwdriver from the entire kit is $\frac{1}{6}$, what is the probability of randomly selecting a standard wrench? Express your answer as a fraction in simplest form.

A military supply depot receives a shipment of $400$ uniform jackets. Of these jackets, $25\%$ are size Small, $\frac{3}{8}$ are size Medium, and the remaining jackets are divided equally between size Large and size Extra-Large. If a quartermaster randomly selects one jacket from the entire shipment, what is the probability that it is a size Extra-Large jacket?

An armory stores a mixture of lithium, alkaline, and nickel-metal hydride (NiMH) batteries. The probability of randomly selecting a lithium battery from the storage is $\frac{2}{5}$. If there are exactly $48$ lithium batteries in the armory, what is the total number of batteries stored?

A quartermaster is organizing a drawer of $60$ uniform patches. The drawer contains $15$ rank insignia patches, $21$ unit patches, and the remaining patches are flag patches. If one patch is randomly selected from the drawer, what is the probability of selecting a flag patch? Express your answer as a decimal.

A motor pool inventory shows that $\frac{1}{4}$ of the vehicles are heavy trucks, $\frac{1}{3}$ are light tactical vehicles, and the remaining vehicles are armored personnel carriers. If a vehicle is randomly selected for an inspection, what is the probability that it is an armored personnel carrier?

An electrician's toolbox contains $8$ red wire connectors, $14$ blue wire connectors, and $10$ green wire connectors. If the electrician randomly selects one connector without looking, what is the probability that it is NOT a blue connector?

A supply sergeant is organizing a crate of $150$ signal flares. The crate contains $50$ red flares, $40$ green flares, $36$ yellow flares, and the remaining flares are white. If a recruit randomly selects one flare from the crate without looking, what is the probability that they select a white flare? Express your answer as a decimal.

A dining facility manager is planning a special event and will randomly select one pie from a large frozen delivery. According to the shipping manifest, $\frac{1}{3}$ of the pies are apple, $\frac{1}{4}$ are cherry, $\frac{1}{5}$ are blueberry, and the rest are pecan. What is the probability that the randomly selected pie is a pecan pie?

A logistics officer is inspecting a shipment of $120$ combat helmets. The shipment contains $45$ large helmets, $35$ medium helmets, $24$ small helmets, and the remaining helmets are extra-large. If the officer randomly selects one helmet for quality control, what is the probability that it is an extra-large helmet? Express your answer as a fraction in simplest form.

A communications specialist is inventorying a batch of hand-held radios. The batch contains $18$ VHF radios, $12$ UHF radios, and $20$ dual-band radios. If one radio is randomly selected for a quality check, what is the probability that it is a VHF radio? Express your answer as a simplified fraction.

An intelligence analyst has a container of map pins used for marking locations on a briefing board. The container holds $24$ red pins, $16$ blue pins, and $10$ green pins. If the analyst randomly selects one pin from the container, what is the probability that it is a blue pin?

A motor pool has a fleet of $40$ vehicles available for dispatch. The fleet consists of $25$ HMMWVs, $10$ transport trucks, and $5$ tactical ambulances. If a dispatcher selects one vehicle at random for a surprise inspection, what is the probability, expressed as a fraction in simplest form, that the selected vehicle is a tactical ambulance?

A supply room bin contains a mixture of $30$ electronic components. There are $12$ resistors, $10$ capacitors, and $8$ inductors. If a technician randomly selects one component from the bin, what is the probability that the selected component is an inductor?