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AP EAMCET · Maths · Probability

One card is selected at random from 27 cards numbered form 1 to 27. What is the probability that the number on the card is even or divisible by 5.

  1. A 1527
  2. B 1627
  3. C 1727
  4. D 1827
Verified Solution

Answer & Solution

Correct Answer

(B) 1627

Step-by-step Solution

Detailed explanation

Total numbers nS=27 Even numbers possible to get =2,4,6,8,10,12,14,16,18,20,22,24,26 ⇒nE=13 Number divisible by 5 will be =5,10,15,20,25 ⇒n5=5 Total possibility of getting even number or divisible by 5=nE∩5=16 therefore, Probability =nE∩5nS=1627