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A box contains 6 bottles of 1 drink, 3 bottles of variety 2 drink and 4 bottles of variety 3 drinks. Three bottles of them are drawn at random, what is the probability that the three are not of the same variety.

(Probability)

dsuc.created: 2 years ago | dsuc.updated: 1 year ago
dsuc.updated: 1 year ago

Total bottles=6+3+4=13

Here, number of ways of taking 3 drink bottles out of 13=13c313×12×111×2×3=286

Again, here event of taking 3 bottles of the same variety = Event of taking 3 bottles out of 6 or 3

bottles out of 3 or 3 bottles out of 4=6c3 +3c3+4c3=6×5×41×2×3+1+4×3×21×2×3=20+1+4=25

The probability of taking 3 bottles of the same variety = 25286

Then probability of taking 3 bottles are not same variety = 1-25286=286-25286=261286(Answer)

1 year ago

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