Past papers › NECO · 2023 · SSCE · General Maths · Paper 1 › Question 55 Question NECO General Maths 2023 Objective Probability Statistics: data & averages Probability, Statistics: data & averages
NECO 2023 · Paper 1 · Q55 The table shows the scores of applicants in an interview. If an applicant is chosen at random, what is the probability that the applicant scored at most 8 marks?
Scores
6
7
8
9
10
Frequency
2
4
2
5
3
A 1 8 \frac18 8 1 B 1 4 \frac14 4 1 C 3 8 \frac38 8 3 D 7 16 \frac7{16} 16 7 E 1 2 \frac12 2 1
Worked solution (try it first) There are
2 + 4 + 2 + 5 + 3 = 16 2 + 4 + 2 + 5 + 3 = 16 2 + 4 + 2 + 5 + 3 = 16 applicants.
At most 8 means 6, 7 or 8:
2 + 4 + 2 = 8 2 + 4 + 2 = 8 2 + 4 + 2 = 8 applicants.
So the probability is
8 16 = 1 2 \frac{8}{16} = \frac12 16 8 = 2 1 , option E.
Watch out
"At most 8" includes 8 itself. Leaving out the score of 8 gives 6 16 = 3 8 \frac{6}{16} = \frac38 16 6 = 8 3 Report a problem with this question