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A bag contains 4 red, 5 yellow or 6 pink balls. Two balls are drawn at random. What is the probability that none of the balls drawn are yellow in colour ?


A) \(\large \frac{1}{7} \)

B) \(\large \frac{3}{7} \)

C) \(\large \frac{2}{7} \)

D) \(\large \frac{5}{14} \)

E) \(\large \frac{9}{14} \)

Correct Answer:
B) \(\large \frac{3}{7} \)

Description for Correct answer:
Total number ofballs = 4+ 5 + 6 = 15

Total number of events = \( \large 15C_{2} = \frac{15 \times 14}{ 1 \times2} = 105 \)

Number of desired events = \( \large 10C_{2} = \frac{10\times9}{ 1 \times2} = 45 \)

Required probability = \( \large\frac{45}{105} = \frac{3}{7} \)

Part of solved IBPS PO-Prelims questions and answers : Exams >> Bank Exams >> IBPS PO-Prelims




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