Boolean algebra - practice problems
Number of problems found: 44
- A bag 4
A bag contains 18 balls that differ only in color, 11 are blue, and seven are red. If two balls are picked, one after the other without replacement, find the probability that both are (i) Blue (ii) Of the same color (iii) Of different colors
It is estimated that 10% of all federal prisoners have a positive self-image, 40% have a neutral self-image, and the rest have a negative self-image. The estimated probability of rehabilitating a prisoner with a negative self-image is 0.1. With a neutral
- Students and exam
In a certain college, accounting is one of the courses; among the accounting students, 60% are male. Among the male students, 75% passed the exams, while among the females, 50% failed. (a) present this using a probability tree diagram (b) determine the pr
- Probability 71174
Find the probability that one will fall at least once in three rolls.
- Probability 68594
What is the probability that any two-digit number a) is divisible by five b) is it not divisible by five?
- Probability 68574
The target is divided into three zones. The probability of a shooter hitting the first band is 0.18, the second band 0.2, and the third band 0.44. What is the probability that a) hits the target, b) miss the target?
- All multiples
Set A is a set of all multiples of 2 and set B is a set of all multiples of 3. If the P (A)=0.6 and P (B)=0.3. Find P (AUB).
- Book Store
The Mabini Book Store (MBS) is reducing the prices of Mathematics books for promotion. The store has 6 Algebra books, 6 Geometry books, and 5 Statistics books to be arranged on a shelf. Books of the same kind are to be placed beside each other. How many w
In a country, 65% of people drink coffee, 50% drink tea 25% drink both. What is the probability that a person chosen at random will drink neither tea nor coffee?
- Probability 59493
Determine the probability of a random event out of 10 randomly selected bridge cards. There will be at least three aces. Note This is a team game, with 52 cards in the deck, of which four aces.
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, the following integers will be in P and Q but not in R: A=−54 B=−50 C=42 D=100 E=252
- Children 58031
The children talked about how they spent the holidays at school. 2/3 of them were on holiday with their parents. There were ten children by the sea, which is 5/8 of those who were on vacation. How many children are in the class of children?
- 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
- 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
- Indirectly: 55581
Prove indirectly: No odd natural number is divisible by four.
- The vaccination
The vaccination coverage of the population is 80%. Unvaccinated make up 60% of all infected. What percentage are unvaccinated and more likely to be infected? Consider N = 10,000 inhabitants and K = 1,000 infected. b. How many times more likely are unvacci
- 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 a probability of 3/5 of hitting the pirate ship. If her sh