ONE EIGHTH CONTEST 2025
Prempeh College - 62 points
Suhum SHTS - 37 points
Benkum SHS - 13 points
ONE EIGHTH CONTEST 2025
Mfantsipim School - 53 points
Anglican SHS, Kumasi - 37 points
Sogakope SHS - 24 points
ONE EIGHTH CONTEST 2025
Adisadel College - 82 points
St. Hubert Seminary SHS - 24 points
Serwaa Nyarko Girls' SHS - 24 points
ROUND 1
PREAMBLE
Two fair dice are thrown. Find the probability of the given event.
FIRST QUESTION
The total score is eight and both scores are even numbers
SOLUTION
Total sample space $=36$
Total score is eight and both scores are even numbers $=(6, 2), (4, 4), (2, 6)$
$P(Total\ 8\ and\ even)=\frac{3}{36}=\frac{1}{12}$
SECOND QUESTION
The total score is eight and both scores are odd numbers
SOLUTION
Total sample space $=36$. Total score is eight and both scores are odd numbers $=(5, 3), (3, 5)$
$P(Total\ 8\ and\ odd)=\frac{2}{36}=\frac{1}{18}$
THIRD QUESTION
The total score is six and both scores are even numbers
SOLUTION
Total sample space $=36$. Total score is six and both scores are even numbers $=(2, 4), (4, 2)$
$P(Total\ 6\ and\ even)=\frac{2}{36}=\frac{1}{18}$
PRACTICE QUESTIONS
1. Two fair dice are thrown. Find the probability that the total score is 10 and both scores are even numbers.
ANSWER: $\dfrac{1}{18}$
SOLUTION
Total sample space $=36$
Outcomes with total 10 and both scores even: (4,6), (6,4)
$n(E)=2$
$P(E)=\dfrac{2}{36}=\dfrac{1}{18}$
2. Two fair dice are thrown. Find the probability that the total score is 4 and both scores are odd numbers.
ANSWER: $\dfrac{1}{18}$
SOLUTION
Total sample space $=36$
Outcomes with total 4 and both scores odd: (1,3), (3,1)
$n(E)=2$
$P(E)=\dfrac{2}{36}=\dfrac{1}{18}$
3. Two fair dice are thrown. Find the probability that the total score is 4 and both scores are even numbers.
ANSWER: $\dfrac{1}{36}$
SOLUTION
Total sample space $=36$
Outcomes with total 4 and both scores even: (2,2)
$n(E)=1$
$P(E)=\dfrac{1}{36}$
4. Two fair dice are thrown. Find the probability that the total score is 6 and both scores are odd numbers.
ANSWER: $\dfrac{1}{12}$
SOLUTION
Total sample space $=36$
Outcomes with total 6 and both scores odd: (1,5), (3,3), (5,1)
$n(E)=3$
$P(E)=\dfrac{3}{36}=\dfrac{1}{12}$
5. Two fair dice are thrown. Find the probability that the total score is 12 and both scores are even numbers.
ANSWER: $\dfrac{1}{36}$
SOLUTION
Total sample space $=36$
Outcomes with total 12 and both scores even: (6,6)
$n(E)=1$
$P(E)=\dfrac{1}{36}$
6. Two fair dice are thrown. Find the probability that the total score is 2 and both scores are odd numbers.
ANSWER: $\dfrac{1}{36}$
SOLUTION
Total sample space $=36$
Outcomes with total 2 and both scores odd: (1,1)
$n(E)=1$
$P(E)=\dfrac{1}{36}$