Question

Cards are marked with numbers 13, 14, 15, ......., 60 are placed in a box and mixed
thoroughly. One card is drawn at random from the box. Find the probability of
getting
(i) a two-digit number (ii) a perfect square number
(iii) a number divisible by 2 and 3​

Answer 1

1)1

2)4/47

3)8/47

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Answer 2

n (S) = 48 [count From card no 13]

1) Let A event of getting a two digit no

A ={ 13 , 14 ,15 ...... 60} n (A) = 48

P (A) = n (A) / n (S) = 48 /48 = 1

2) Let B event of getting a perfect square no

B = { 16 , 25 ,36 , 49} n (B) = 4

P (B) = n (B) / n (S) = 4/48 = 1 / 12

3) Let C event of getting a number divisible by 2 and 3

C = { 18 , 24 , 30 , 36, 42, 48 , 54 , 60 }

n(C) = 8

P (C) = n (C) / n (S) = 8 / 48 = 1 / 6

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