maths

posted by .

The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at random. The probability they choose numbers from the same set can be expressed as a/b, where a and b are coprime positive integers. What is the value of a+b?

  • maths -

    Hmmm. For each set of size n, there's a n/17 chance that each person picked a number from that set.

    (5/17)^2 + (4/17)^2 + 2(3/17)^2 + (2/17)^2 = 63/289

  • maths -

    352

  • maths -

    Which set or sets 1/9 belongs to

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    For the universal set U= {0,1,2,3,4,5,6,7} And the sets A={1,5}, B={1,2,3,4} And C= {4, 6} lists the elements in the following Sets. a. A ¿ B b. A U Bf c. A ¿(B U C) d. C ¿ (B ¿ A)f I assume your funny symbol is "∩", …
  2. math

    give an example of a set which has just two elements; one element; no elements; an infinite number of elements.
  3. math

    For the set X={m,n.p,q,r,s}, let R be the relation on P(X) (power set) given by A R B iff A and B have the same number of elements. List all the elements in {m}/R (equivalence class); in {m,n,p,q,r,s}/R. How many elements are in X/R?
  4. mathematics

    The numbers 1,2,…,17 are divided into 5 disjoint sets. One set has 5 elements, one set has 4 elements, two sets have 3 elements and the last set contains the 2 remaining elements. Two players each choose a number from 1 to 17 at …
  5. Math

    Find the number of elements in A1∪A2∪A3, supposing that there are 103 elements in A1, 992 elements in A2, 10011 elements in A3, in each of the following situations: (a) The sets are pairwise disjoint, that is, no pair has …
  6. Sets & Probability

    Let S be the universal set, where: S={1,2,3,...,18,19,20} Let sets A and B be subsets of S, where: Set A={2,3,5,7,10,11,12,14,16,17,18,19,20} Set B={1,5,8,10,11,12,16,17,19,20} LIST the elements in the set (A∪B): LIST the elements …
  7. Set Theory

    Let the Universal Set, S, have 136 elements. A and B are subsets of S. Set A contains 34 elements and Set B contains 98 elements. If Sets A and B have 22 elements in common, how many elements are in A but not in B?
  8. Sets

    Suppose Set B contains 69 elements and the total number elements in either Set A or Set B is 107. If the Sets A and B have 13 elements in common, how many elements are contained in set A?
  9. Algebra

    Suppose Set B contains 69 elements and the total number elements in either Set A or Set B is 107. If the Sets A and B have 13 elements in common, how many elements are contained in set A?
  10. Sets

    Suppose Set B contains 69 elements and the total number elements in either Set A or Set B is 107. If the Sets A and B have 13 elements in common, how many elements are contained in set A?

More Similar Questions