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Algebra Data and statistics

Two-way tables

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Question 1
202629

An elementary school class was surveyed on whether its students can swim. The results are shown in the two-way table.

 Can swimCannot swimTotal
Boys\(24\)\(5\) 
Girls\(16\)\(3\) 
Total   
(i) How many students are in the class?
(ii) How many students are boys or cannot swim?
(iii) A student is chosen at random. What is the probability that the student cannot swim?
(iv) What is the probability that the student is a girl who can swim?
Part a:
48
 students 1 mark
Part b:
32
 students 1 mark
Part c:
A.
\(\dfrac{5}{6}\)
B.
\(\dfrac{1}{5}\)
C.
\(\dfrac{5}{48}\)
D.
\(\dfrac{1}{6}\)
Correct
Part d:
A.
\(\dfrac{1}{3}\)
Correct
B.
\(\dfrac{2}{3}\)
C.
\(\dfrac{16}{19}\)
D.
\(\dfrac{2}{5}\)

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