The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at randon scored either 4 or 7 goals.
Attached Figure / Diagram
A
\(\frac{9}{25}\)
B
\(\frac{1}{5}\)
C
\(\frac{6}{25}\)
D
\(\frac{2}{5}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Prob. (team scored 4 goals) = Prob. (team scored 7 goals) = \(\frac{3}{25}\)
Hence, probability that a team selected at random scored either 4 or 7 goals;
= \(\frac{6}{25} + \frac{3}{25}\)
= \(\frac{9}{25}\)
Source: Myschool Past Questions Archive (Record #49355)