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Two numbers x and y are chosen at random from a set of first 10 natural numbers. What is the probability that (x+y) is divisible by 4 ?

Options

  1. A1 5
  2. B2 9
  3. C8 45
  4. D7 45

Correct answer

B. 2 9

Step-by-step solution

n(s)=10 9=90 Sum of x+y is divisible by 4 are aligned & (1,3),(1,7),(2,6),(2,10),(3,1),(3,5),(3,9),(4,8) & (5,3),(5,7),(6,2),(6,10),(7,1),(7,5),(7,9),(8 & 4),(9,3),(9,7),(10,2),(10,6) & n(E)=20 & P(E)= 20 90 = 2 9 aligned

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