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In a group of 100 students - 59 study History (H) - 62 study Geography (G) - 20 do not study either subject - OCR - GCSE Maths - Question 22 - 2019 - Paper 1
Question 22
In a group of 100 students - 59 study History (H) - 62 study Geography (G) - 20 do not study either subject. (a) Complete the Venn diagram. (b) One of the 100 stud... show full transcript
Worked Solution & Example Answer:In a group of 100 students - 59 study History (H) - 62 study Geography (G) - 20 do not study either subject - OCR - GCSE Maths - Question 22 - 2019 - Paper 1
Step 1
Find the probability that this student studies exactly one of the two subjects.
Answer
To find the probability that a randomly selected student studies exactly one subject, we add the numbers of students studying only History and only Geography:
egin{align*} ext{Only History} & : 18 \ ext{Only Geography} & : 21 \ ext{Total studying exactly one subject} & : 18 + 21 = 39 ext{Probability} (P) = \frac{\text{Number of students studying exactly one subject}}{\text{Total number of students}} = \frac{39}{100} = 0.39
Thus, the probability is 0.39 or 39%.