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WAEC Mathematics 2010 Paper
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© africaexams.com
Question : 34
Total: 49
In an athletic composition, the probability that an athlete wins a 100m race is
1
8
and the probability that he wins in high jump is
1
4
. What is the probability that he wins only one of the events?
3
32
7
3
5
3
5
16
Validate
Solution:
Pr. (winning 100m race) =
1
8
Pr. (losing 100m race) = 1 -
1
8
=
7
8
Pr. (winning high jump) =
1
4
Pr. (losing high jump ) = 1 -
1
4
=
3
4
Pr. (winning only one) = Pr. (Winning 100m race and losing high jump) or Pr.(Losing 100m race and winning high jump)
= (
1
8
×
3
4
) + (
7
8
×
1
4
)
=
3
32
+
7
32
=
10
32
=
5
16
© africaexams.com
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