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Question

One ball is picked up randomly from a bag containing 8 yellow, 7 blue and 6 black balls. What is the probability that it is neither yellow nor black?
Options:
A .  $MF#%\dfrac{1}{3}$MF#%
B .  $MF#%\dfrac{1}{4}$MF#%
C .  $MF#%\dfrac{1}{2}$MF#%
D .  $MF#%\dfrac{3}{4}$MF#%
Answer: Option A

Answer : Option A

Explanation :

Total number of balls, n(S) = 8 + 7 + 6 = 21
n(E) = Number of ways in which a ball can be selected which is neither yellow nor black
= 7 (∵ there are only 7 balls which are neither yellow nor black)

$MF#%\text{P(E) = }\dfrac{\text{n(E)}}{\text{n(S)}} = \dfrac{7}{21} = \dfrac{1}{3}$MF#%



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