Probability Ques 5

Question-

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

(1) $\frac{3}{4}$

(2) $\frac{4}{7}$

(3) $\frac{1}{8}$

(4) $\frac{3}{7}$

(5) $\frac{1}{4}$

(IBPS Bank PO/MT CWE-V Main Exam. 31.10.2015)

Show Answer

Correct Answer: (2)

Solution: (2)

Number of balls in the bag $=6+8=14$

Total possible outcomes $=$ Selection of 1 ball out of 14 balls $={ }^{14} C_{1}=14$

Total favourabe outcomes $=$ Selection of 1 ball out of 8 white balls $={ }^{8} C_{1}=8$

$\therefore$ Required probability $=\frac{8}{14}=\frac{4}{7}$