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Most Important Selected Qs for JEE AdvancedMathematicsProbability

A bag initially contains one red and two blue balls. An experiment consisting of selecting a ball at random, noting its colour and replacing it together with an additional ball of the same colour. If three such trials are made, then

Options

  1. Aprobability that atleast one blue ball is drawn is 9 10
  2. Bprobability that exactly one blue ball is drawn is 1 5
  3. Cprobability that all the drawn balls are red given that all the drawn balls are of same colour is 1 5
  4. Dprobability that atleast one red ball is drawn is 3 5

Correct answer

D. probability that atleast one red ball is drawn is 3 5

Step-by-step solution

(1) P ( E ₁ )=1- P ( R RR )=1- [ 1 3 2 4 3 5 ] (2) P ( E ₂ )=3 P ( BRR )=3 2 3 1 4 2 5 = 1 5 (3) P (E₂ )=P(R R R / R R R B B B)= P(R R R) P(R R R)+P(B B B) But P(B ~ B ~ B)= 2 3 3 4 4 5 = 8 20 P (E₃ )= 0.1 0.1+0.4 = 1 5 (4) P ( E ₄ )=1- P ( B B B )=1- 2 5 = 3 5

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