Question

cards number from 5 to 94 kept in a box and mixed thoroughly a card is taken a random from the box what is the probability that the card drawn is

1) a perfect square
2) a multiple of five
3) a one digit number
4) a multiple of 7 or 11 ​

Answer 1

Answer:

1) 7/90    (2)  17/90   (3) 1/18     (4)   2/9

Step-by-step explanation:

S  = { 5 ,6, 7,8, ......... ,94}

n(S) =  90

1)  A { 9, 16 ,25,36, 49, 64, 81 }

n(A) =  7

P(A)  = 7/90

2)  B = { 5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85 }

n(B) =  17

P(B) =  17/90

3)  C = { 5,6,7,8,9 }

 n(C) = 5

P(C) =  5/90

        = 1/18

4)  D = { 7,14,21,28,35,49,56,63,70,77,84,91}

   n(D) = 13

 P(D)  = 13/90

 E = { 11,22,33,44,55,66,77,88}

n(E) = 8

P(E) = 8/90

D∩E = { 77}

n(D ∩E)  =  1

P(D ∩E)  = 1/90

P(D∪ E)  =  13/90 + 8/90 - 1/90

           = 20/90

           = 2/9