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In a recent zonal championship games involving ... - JAMB Mathematics 1998 Question

In a recent zonal championship games involving 10 teams, teams X and Y were given probabilities \(\frac{2}{5}\) and \(\frac{1}{3}\) respectively of winning the gold in the football event. What is the probability that either team will win the gold?
A
\(\frac{2}{15}\)
B
\(\frac{7}{15}\)
C
\(\frac{11}{15}\)
D
\(\frac{13}{15}\)
correct option: c

p(x) = (\frac{2}{5}) p(y) = (\frac{1}{3})

p(x or y) = p(x ∪ y)

= p(x) + p(y)

= (\frac{2}{5}) + (\frac{1}{3})

= (\frac{11}{5})

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