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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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