# Boolean algebra - practice problems

#### Number of problems found: 25

- AND-NOT-AND

If P is the set of multiples of 2, Q is the set of multiples of 3, and R is the set of multiples of 7, which of the following integers will be in P and Q but not in R? A=−54 B=−50 C=42 D=100 E=252 - Three robots

In a workshop, three robots, Q, R and S, are employed to make chairs Robot Q makes 25% of the chairs Robot R makes 45% of the chairs The remaining chairs are made by Robot S Evidence has shown that 2 percent of the chairs made by robot Q are d - Two fertilizers

Jason is testing two fertilizers, Grow Well and Green Grow, so he went to a nursery and bought 50 tomato plants of the same variety. He planted all 50 plants in an identical environment. He then administered Grow Well to 25 of the tomato plants and Green - School student

The probability that a school student has a skateboard is 0.34, the probability that he has a bicycle is 0.81 and the probability that he has a skateboard and a bicycle is 0.22. What is the probability that a randomly selected student has a skateboard or - The vaccination

The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvaccinate - Quadrant four

Which point is located in Quadrant IV? A coordinate plane. A(-8, 6) B(-8, -6) C(8, -6) D(8, 6) - Gym center

80% of all visitors to the gym center enjoy a discount. 3/4 of all visitors go to practice regularly. All visitors who go to the gym regularly benefit from a discount. What percentage of all visitors do not go to the gym regularly but still use the discou - Crimson Lynx

Captain Emily has a ship, the H. M. S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band of thieves. If her ship hasn't already been hit, Captain Emily has probability 3/5 of hitting the pirate ship. If her ship ha - Mastering

The student masters the subject matter for the exam in Czech to 98%, from Math to 86% and from Economics to 71%. What is the probability that he will fail from Math and from others will succeed? - Open intervals

Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - Birthday paradox

How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%? - Double probability

The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice? - Alarm systems

What is the probability that at least one alarm system will signal the theft of a motor vehicle when the efficiency of the first system is 90% and of the independent second system 80%? - Percents from percent

How much is 13% of 20% of 500 greater than 8% of 14% of 200? - The university

At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the - Sick days

In Canada, there are typically 261 working days per year. If there is a 4.9% chance that an employee takes a sick day. .. what is the probability an employee will use 17 OR MORE sick days in a year? - School trip

On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma - Records

Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors? - Intersect and conjuction

Let U={1,2,3,4,5,6} A={1,3,5} B={2,4,6} C={3,6} Find the following. 1. )AUB 2. )A'UB' - Three shooters

Three shooters shoot, each one time, on the same target. The first hit the target with a probability of 0.7; second with a probability of 0.8 and a third with a probability of 0.9. What is the probability to hit the target: a) just once b) at least once c

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