Question

let the set A contains the elements 1,2,3,4,5,6&7 ; set B contains the elements 7, 8&9 ; set C containing the elements 8,9&10. if one of the numbers deleted rndomly from each ofthese sets , that is theprobability that all the three deleted numbers are even or all are multiples of 3???

Answer 1

Let A={1,2,3,4,5,6,7,}

B= {7,8,9}

C={8,9,10}

Let E1 be the event that digit deleted ramdomly

let A be the event that digit deleted randomly are even

P(A)= 3/7

let B be the event that digit deleted randomly are even

P(B)= 1/3

let C be the event that digit deleted randomly are even

P(C)= 1/3

P(A intersection B intersection C )=

P(A).P(B).P(C)

= (3/7)*(1/3)*(1/3)=3/63

Let E2 be the event that digit deleted ramdomly

let A' be the event that digit deleted randomly are multiple of 3

P(A')= 2/7

let B' be the event that digit deleted randomly are multiple of 3

P(B')= 1/3

let C' be the event that digit deleted randomly are multiple of 3

P(C')= 1/3

P(A' intersection B' intersection C')=

P(A').P(B').P(C')

=(2/7)*(1/3)*(1/3)

=2/63

Probability of getting delete a even number or a multiple of three=

P(A').P(B').P(C') + P(A).P(B).P(C)

=3/63 + 3/63

=5/63

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