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Sagot :
Given:
The number of people for each eye color
Brown = 35, Blue = 4, Hazel = 10, green = 1
The likelihood of an event e occurring can be calculated using the formula:
[tex]P(an\text{ event e occuring\rparen = }\frac{number\text{ of required outcomes}}{Total\text{ number of possible outcomes}}[/tex]So, we have
Total number of people = 50
Next, we find the likelihood for each event
The likelihood for Brown:
[tex]\begin{gathered} P(brown)\text{ = }\frac{35}{50} \\ =\text{ }\frac{7}{10}\text{ } \\ =\text{ 0.7 or 70\%} \end{gathered}[/tex]The likelihood for Blue:
[tex]\begin{gathered} \text{P\lparen blue\rparen = }\frac{4}{50} \\ =\frac{2}{25}\text{ or 0.08 or 8\% } \end{gathered}[/tex]The likelihood for Hazel:
[tex]\begin{gathered} P(hazel)\text{ = }\frac{10}{50} \\ =\text{ }\frac{1}{5} \end{gathered}[/tex]The likelihood for green:
[tex]P(green)\text{ = }\frac{1}{50}[/tex]Next, we step through the options and check which is correct
Option A:
The likelihood of blue or green :
[tex]\begin{gathered} =\text{ }\frac{2}{25}\text{ + }\frac{1}{50} \\ =\text{ }\frac{4}{50}\text{ + }\frac{1}{50} \\ =\frac{5}{50} \\ =\text{ }\frac{1}{10} \end{gathered}[/tex]The likelihood of hazel eyes is greater than the likelihood of blue or green
Option B:
The likelihood of having a blue eyes is greater than the likelihood of having green eyes
Incorrect
Option C:
The likelihood of having a blue eyes is 4%
Incorrect
Option D:
The likelihood of having a brown eyes is 70%
This is correct
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