A fruit basket contains 10 Guavas and 20 Bananas out of which 3 Guavas and 5 Bananas are defective I...........

Quantitative Aptitude ( CCS) Probability

A fruit basket contains 10 Guavas and 20 Bananas out of which 3 Guavas and 5 Bananas are defective. If two fruits selected at random, what is the probability that either both are Bananas or both are non-defective?

315/435

313/435

317/435

316/435

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Explanation:

Answer & Explanation
Answer – 316/435
Explanation :
P(A) =²⁰C₂ / ³⁰C₂, P(B) =²²C₂ / ³⁰C₂
P(A∩B) = ¹⁵C₂ / ³⁰C₂
P(A∪B) = P(A) + P(B) – P(A∩B) => (²⁰C₂/³⁰C₂)+(²²C₂/³⁰C₂)-(¹⁵C₂/³⁰C₂)=316/435