An urn contains 8 red, 7 blue and 5 green balls. Two balls that are of different colours are drawn. ?

2020-09-29 2:09 pm
Given this, what is the probability the two balls were red and blue. 
(The answer given was 56/131. I do not understand how did they get there?)

回答 (1)

2020-09-29 3:14 pm
No. of combinations to draw two balls in different colours
= No. of combinations to draw (red + blue) + (blue + green) + (green + red)
= 8 × 7 + 7 × 5 + 8 × 5
= 56 + 35 + 40
= 131

No. of combinations to draw (red and blue)
= 8 × 7
= 56

P([two balls were red and blue] | [two balls in different colours])
= 56/131


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