# Probability + intersection of sets - math problems

#### Number of problems found: 14

• Probability of intersection Three students have a probability of 0.7,0.5 and 0.4 to graduated from university respectively. What is the probability that at least one of them will be graduated?
• Double probability The probability of success of the planned action is 60%. What is the probability that success will be achieved at least once if this action is repeated twice?
• Three students Three students independently try to solve the problem. The first student will solve a similar problem with a probability of 0.6, the second student will solve at a probability of 0.55, and the third will solve at a probability 0.04. The problem is resolve
• Dices throws What is the probability that the two throws of the dice: a) Six falls even once b) Six will fall at least once
• Two doctors Doctor A will determine the correct diagnosis with a probability of 93% and doctor B with a probability of 79%. Calculate the probability of proper diagnosis if both doctors diagnose the patient.
• Left handed It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar where there are 30 participants?
• Fall sum or same Find the probability that if you roll two dice, it will fall the sum of 10, or the same number will fall on both dice.
• The box The box contains five chocolate, three fruit, and two menthol candies. We choose sweets at random from the box. What is the probability that we will take out one chocolate, one fruit, and one menthol candy without a return?
• In a 5 In a football game, Mike, gets to play be the goalkeeper 50% of the time if Peter is the coach. But if Robert is coaching, he only has 30% chance. Peter coaches more than Robert in about 6 to 10 games. What is the probability that Mike gets to be the goal
• 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%?
• Chambers The decision-making committee consists of three people. In order for the commission's decision to be valid, at least two members must vote in the same way. It is not possible not to vote in the commission, everyone only votes yes or no. We assume that the
• Hazard game In the Sportka hazard game, 6 numbers out of 49 are drawn. What is the probability that we will win: a) second prize (we guess 5 numbers correctly) b) the third prize (we guess 4 numbers correctly)?
• Utopia Island A probability of disease A on the island of Utopia is 40%. A probability of occurrence among the men of this island, which make up 60% of all the population (the rest are women), is 50%. What is the probability of occurrence of A disease among women on Ut
• 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

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Probability - math word problems. Intersection of sets - math word problems.