Correct Answer: Option B

Explanation

Total possible outcome
12+18+x+30+2x+45 = 105+3x
∴105+3x = 150
3x = 150-105
3x = 45
x = 15
P(obtaining 5) = \(\frac{2x}{(105+3x)}But x= 15\)
=\(\frac{2(15)}{(105+3(15))}\)
=\(\frac{30}{(105+45)}\)
=\(\frac{30}{150}\)
=\(\frac{1}{5}\)

There is an explanation video available below.

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