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Question:
In a tutorial class, each student records whether they are left or right handed, and whether they are left or right footed.
The results are in the table below.
Left handed Right handed Total
Left Footed 3 2 5
Right Footed 2 25 27
Total 5 27 32
a) What proportion of the class is both right handed and right footed?
Correct answer: 25/32
b) A student is chosen at random from the class
Let A be the event that the student is right handed.
Let B be the event that the student is right footed
i) Compute P(A).
Correct Answer: 27/32
ii) Compute P(B)
iii) Compute the conditional probability P(B|A)
I chose input the answer 27/32 or 25/27, both answer were wrong. I don't know how to work out this question, I want to understand the way to solve this question.
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