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 as summarized in the table given.\(\begin{array}{c|c} Number & 1 & 2 & 3 & 4 & 5 & 6 \ \hline Frequency & 12 & 18 & x & 30 & 2x & 45\end{array}\)
What is the probability of obtaining a 5?
What is the probability of obtaining a 5?
A
\(\frac{3}{10}\)
B
\(\frac{1}{5}\)
C
\(\frac{1}{6}\)
D
\(\frac{1}{10}\)
correct option: b
\(\begin{array}{c|c}Number & 1 & 2 & 3 & 4 & 5 & 6 \ \hline Frequency & 12 & 18 & x & 30 & 2x & 45\end{array}\)
12 + 18 + x + 30 + 2x + 45 = 150
3x + 105 = 150
3x = 150 - 105
3x = 45
x = \(\frac{45}{3}\)
x = 15
probability of 5 = \(\frac{30}{150}\)
= \(\frac{1}{5}\)
12 + 18 + x + 30 + 2x + 45 = 150
3x + 105 = 150
3x = 150 - 105
3x = 45
x = \(\frac{45}{3}\)
x = 15
probability of 5 = \(\frac{30}{150}\)
= \(\frac{1}{5}\)
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