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The result of rolling a fair die 150 times is a... - JAMB Mathematics 2008 Question

The result of rolling a fair die 150 times is ass summarized in the table above. What is the probability of obtaining a 5
A
3/10
B
1/5
C
1/6
D
1/10
correct option: b

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})

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