Smoker male

For a person selected randomly from a certain population, events A and B are defined as follows. A = event the person is male B = event the person is a smoker. For this particular population, it is found that P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.18. Find P(A U B ). Round result to two decimal places.

Correct answer:

P =  0.5

Step-by-step explanation:

$$\begin{gathered} PA=0.53 \\ PB=0.15 \\ PAB=0.18 \\ P=PA+PB-PAB=0.53+0.15-0.18=0.5 \end{gathered}$$

Try another example

Related math problems and questions:

• And-or probabilities
  P(A ) = 0.53, P(B) = 0.15, and P(A n B ) = 0.18. Find P(A U B ). Round approximations to two decimal places.
• 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
• 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?
• Event probability
  The probability of event P in 8 independent experiments is 0.33. What is the probability that the event P occurs in one experiment (chance is the same)?
• IQ Intelligence quotient
  Intelligence quotient (IQ) is a standardized score used as the output of standardized intelligence psychological tests to quantify a person's intelligence with the rest of the population (respectively to a given group). Intelligence has an approximately n
• Christmas holidays
  How many percent take Christmas holidays lasting 18 days from a school year that lasts 303 days? Round the result to two decimal places
• Probability
  How probable is a randomly selected three-digit number divisible by five or seven?
• The accompanying
  The accompanying table gives the probability distribution of the number of courses randomly selected student has registered Number of courses 1 2 3 4 5 6 7 Probability 0.02 0.03 0.1 0.3 0.4 - 0.01 respectively. a) Find the probability of a student registe
• Three subjects
  In a class of 40 students, 18 passed mathematics, 19 passed accounts, 16 passed economics, 5 mathematics and accounts only, 6 mathematics only, 9 accounts only, 2 accounts and economics only, if each student offered at least one of the subjects. a) how ma
• Events
  Event P has probability of 0.84. What is the probability that the event P occurs in 3, 5, 7 try.
• Utopia Island
  The probability of disease A on the island of Utopia is 40%. The 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 o
• Feed to hay
  How many tons of water do we have to dehydrate from 8 tons of feed, if the original moisture is 54 percent, to get hay with a moisture content of 15 percent? Round to two decimal places.
• The dice
  What is the probability of events that if we throw a dice is rolled less than 6?
• Speed of Slovakian trains
  Rudolf decided to take the train from the station 'Ostratice' to 'Horné Ozorovce'. In the train timetables found train Os 5409 : km 0 Chynorany 15:17 5 Ostratice 15:23 15:23 8 Rybany 15:27 15:27 10 Dolné Naštice 15:31 15:31 14 Bánovce nad Bebravou 15:35 1
• Rectangle
  In a rectangle with sides, 8 and 9 mark the diagonal. What is the probability that a randomly selected point within the rectangle is closer to the diagonal than to any side of the rectangle?
• 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 of 0.04. The problem is reso
• Phone numbers
  How many 7-digit telephone numbers can be compiled from the digits 0,1,2,..,8,9 that no digit is repeated?