TS EAMCET · Maths · Probability
A bag contains 5 red balls, 3 black balls and 4 white balls. Three balls are drawn at random. The probability that they are not of same colour is
- A \(\frac{37}{44}\)
- B \(\frac{31}{44}\)
- C \(\frac{21}{44}\)
- D \(\frac{41}{44}\)
Answer & Solution
Correct Answer
(D) \(\frac{41}{44}\)
Step-by-step Solution
Detailed explanation
We have, 5 red balls, 3 black balls, 4 white balls Total numbers of balls \(=(5+3+4)=12\) Three balls are drawn \(={ }^{12} C_3=220\) Three balls are drawn of same colour \[ ={ }^5 C_3+{ }^3 C_3+{ }^4 C_3=10+1+4=15 \] Probability of are not same colour…
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