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A jug contains 14 jellies out of which 6 are red and the rest are blue. Another jug contains 16 jellies out of which 10 are blue and the rest are red. One jelly is drawn from each jug. Find the probability that each jelly is of different colour.

A jug contains 14 jellies out of which 6 are red and the rest are blue. Another jug contains 16 jellies out of which 10 are blue and the rest are red. One jelly is drawn from each jug. Find the probability that each jelly is of different colour. Correct Answer 27/56 

Given:

A jug contains 14 jellies out of which 6 are red and the rest are blue. Another jug contains 16 jellies out of which 10 are blue and the rest are red.

Formula Used:

Probability = favourable terms/sample space

Calculation:

⇒ jug A = 6 red and 8 blue

⇒ jug B = 10 blue and 6 red

Case 1:

⇒ Red from jug A and blue from jug B = 6/14 × 10/16 = 15/56

Case 2:

⇒ Blue from jug A and red from jug B = 8/14 × 6/16 = 3/14

∴ required probability = 3/14 + 15/56 = 27/56

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