Jambmaths question:
The result of rolling a fair die 150 times is as summarized in the table below
|
Number |
1 |
2 |
3 |
4 |
5 |
6 |
|
Frequency |
12 |
18 |
x |
30 |
2x |
45 |
What is the probability of obtaining a 5?
Option A:
$\tfrac{3}{10}$
Option B:
$\tfrac{1}{5}$
Option C:
$\tfrac{1}{6}$
Option D:
$\tfrac{1}{10}$
Jamb Maths Solution:
$\begin{align} & freq=150 \\ & 12+18+x+30+2x+45=150 \\ & 105+3x=150 \\ & 3x=45 \\ & x=15 \\ & prob=\frac{no\text{ }of\text{ expected outcome}}{\text{total number of possible outcome}} \\ & prob\text{ }of5=\frac{2(15)}{150}=\frac{30}{150}=\frac{1}{5} \\\end{align}$
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