Probabilities

If probabilities of A, B and A ∩ B are P (A) = 0.62 P (B) = 0.78 and P (A ∩ B) = 0.26 calculate the following probability (of union. intersect and opposite and its combinations):

Result

P(A′) =  0.38
P(B′) =  0.22
P(A ∪ B) =  1.14
P(A′∩ B) =  0.52
P(A ∩ B′) =  0.36
P[( A ∪ B)′] =  -0.14
P( A′ ∪ B) =  0.64

Solution:

P(A′) = 1-0.62 = 0.38
P(B′) = 1-0.78 = 0.22
P(A ∪ B) = 0.62+0.78-0.26 = 1.14
P(A′∩ B) = 0.78-0.26 = 0.52
P(A ∩ B′) = 0.62-0.26 = 0.36
P[( A ∪ B)′] = 1-(0.62+0.78-0.26) = -0.14
P( A′ ∪ B) = 1-0.62+ 0.26 = 0.64







Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




To solve this example are needed these knowledge from mathematics:

Would you like to compute count of combinations?

Next similar examples:

  1. Two doctors
    dr_cvach Doctor A will determine the correct diagnosis with a probability 86% and doctor B with a probability 87%. Calculate probability of correct diagnosis if patient is diagnosed by both doctors.
  2. Utopia Island
    doktori 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 Uto
  3. Segments
    segments Line segments 67 cm and 3.1 dm long we divide into equal parts which lengths in centimeters is expressed integer. How many ways can we divide?
  4. Camp
    tabor In a class are 26 children. During the holidays 16 children were in the camps and 14 children on holiday with their parents. Determine the minimum and maximum number of children that may have been in the camp and on holiday with their parents at the same
  5. Glasses
    class Imagine a set of students in your class (number of students: 19), who wears glasses. How much minimum and maximum element may contain this set.
  6. News
    casopis_tyzden From 33 students buy magazine 9 The economist students, 14 BusinessWeek students and 19 students don't buy any of these magazines. How many students buy both magazines?
  7. Pairs
    dvojice From the five girls and four boys teachers have to choose one pair of boy and girl. A) How many such pairs of (M + F)? B) How many pairs where only boys (M + M)? C) How many are all possible pairs?
  8. Subsets
    1venna_sets How many are all subsets of set ??
  9. Math logic
    children_7 There are 20 children in the group, each two children have a different name. Alena and John are among them. How many ways can we choose 8 children to be among the selected A) was John B) was John and Alena C) at least one was Alena, John D) maximum one w
  10. Freedom
    family_life In the city are 3/9 of women married for 3/6 men. What proportion of the townspeople is free (not married)? Express as a decimal number.
  11. Classroom 3
    kids_1 How many children are in the classroom, where 13 children are higher than Lenka and 9 children lower than Lenka?
  12. Chamber
    socks In the chamber light is broken and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. In order to have such certainty for the pai
  13. Lentilka
    lentilky.JPG Lentilka made 31 pancakes. 8 don't fill with anything, 14 pancakes filled with strawberry jam, 16 filled with cream cheese. a) How many Lentilka did strawberry-cream cheese pancakes? Maksik ate 4 of strawberry-cream cheese and all pure strawberry pancake
  14. Pizza master
    pizza_3 Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?
  15. Count of roots
    eggs How many solutions has equation x. y = 7757 with two unknowns on the set of natural numbers?
  16. Pytagoriade
    pytagoriada Two fifth-graders teams competing in math competitions - in Mathematical Olympiad and Pytagoriade. Of the 33 students competed in at least one of the contest 22 students. Students who competed only in Pytagoriade was twice more than those who just competed
  17. Trousers
    venn_diagram In the class was 12 students. Nine students wearing trousers and turtleneck eight. How many students worn trousers with a turtleneck?