Home Maths Probability Conditional Probability, Baye's Theorem Box – I contains 5 red and 2 blue balls whil…
Maths Probability Conditional Probability, Baye's Theorem Subjective Type
Published on: August 14, 2026

Box – I contains 5 red and 2 blue balls while box – II contains 2 red and 6 blue balls. A fair coin is tossed. If it turns up head, a ball is drawn from box–I, else a ball is drawn from box–II. Find the probability of each of the following :

(i)A red ball is drawn

(ii)Ball drawn is from box–I if it is blue

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The correct answer is:
CHECK THE SOLUTION.

(i) (ii)

Sol. B1 → 5R + 2B ; B2 → 2R + 6B

(i) P(R) = =

(ii) A : Ball drawn is blue

B 1 : From B 1

B 2 : From B 2

P(B 1 /A) = = =

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