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BITSAT Mathematics Probability 2024 BITSAT 2024 (Memory Based Paper 1)

BITSAT Mathematics Question (2024) — Solution

Question

A book contains 1000 pages. A page is chosen at random. The probability that the sum of the digits of the marked number on the page is equal to 9 , is

Options

  1. A. 23 500
  2. B. 11 200
  3. C. 7 100
  4. D. None of these

Answer

B. 11 200

Step-by-step solution

n(S)= Total number of ways =1000 The favourable cases that the sum of the digits of the marked number on the page is equal to 9 are one digit number or two digits numbers or three digits numbers, if three digit number is a b c. Then, a+b+c=9 ; 0 a, b, c 9. n(E)= Number of favourable ways = Number of solutions of the equation = ^ 9+3-1 C_ 3-1 = ^ 11 C_2=55 Required probability = n(E) n(S) = 55 1000 = 11 200 .

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