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99 Percentile Qs Bank for JEE MainMathematicsProbability

The probability of getting qualified in IITJEE and EAMCET by a student are respectively 1 5 and 3 5 . The probability that the student gets qualified for atleast one of these test, is

Options

  1. A3 25
  2. B8 25
  3. C17 25
  4. D22 25

Correct answer

C. 17 25

Step-by-step solution

Given that P(A)= 1 5 , P(B)= 3 5 Required probability aligned & =P(A) P( B )+P( A ) P(B)+P(A) P(B) & = 1 5 (1- 3 5 )+ (1- 1 5 ) 3 5 + 1 5 3 5 & = 1 5 2 5 + 4 5 3 5 + 3 25 & = 2 25 + 12 25 + 3 25 = 17 25 aligned

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