Cards marked with number 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box. Find the probability that the number on the card: (i) Multiple of 5 (ii) A number which is not a perfect square (iii) A two digit number whose sum of digit is 9.
Answers
Given : Cards marked with number 2 to 101 are placed in a box and mixed thoroughly. One card is drawn from this box
To Find : probability that the number on the card:
(i) Multiple of 5
(ii) A number which is not a perfect square
(iii) A two digit number whose sum of digit is 9.
Step-by-step explanation:
Cards marked with number 2 to 101
=> Total Card = 100
n(S) = 100
Multiple of 5
A = { 5 , 10 , 15 , ...............................100 }
=> n(A) = 20
probability that the number on the card Multiple of 5 = n(A)/n(S)
= 20/100
= 1/5
A number which is not a perfect square
Perfect square = {2² , 3² ,............................9² , 10² }
n(B) = 9
nor perfect square = 100 - 9 = 91
probability that the number on the card is not a perfect square = 91/100
A two digit number whose sum of digit is 9.
C = {18 , 27 , 36 , 45 , 54 , 63 , 72 , 81 , 90 }
n(C) = 9
probability that A two digit number whose sum of digit is 9. = 9/100
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