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Question

A dice is thrown. What is the probability that the number shown in the dice is divisible by 3?
Options:
A .  $MF#%\dfrac{1}{6}$MF#%
B .  $MF#%\dfrac{1}{3}$MF#%
C .  $MF#%\dfrac{1}{4}$MF#%
D .  $MF#%\dfrac{1}{2}$MF#%
Answer: Option B

Answer : Option B

Explanation :

Total number of outcomes possible when a die is rolled, n(S) = 6 (∵ 1 or 2 or 3 or 4 or 5 or 6)
E = Event that the number shown in the dice is divisible by 3 = {3, 6}
Hence, n(E) = 2

$MF#%\text{P(E) = }\dfrac{\text{n(E)}}{\text{n(S)}} = \dfrac{2}{6} = \dfrac{1}{3}$MF#%



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