BECE Mathematics 2020 Paper

Concept:Probability of an event is found by dividing the number of favourable outcomes by the total number of possible outcomes.Solution:The given set is $p = \{1,2,3,4,5,6,7,8,9,10,11,12\}$.Thus, the total number of possible outcomes is $12$.A prime number is greater than $1$ and has exactly two factors: $1$ and itself.From set $p$, the prime numbers are $\{2,3,5,7,11\}$.Remember that $1$ is not considered a prime number.Counting these primes gives the number of favourable outcomes as $5$.So, probability of selecting a prime number is $\frac{5}{12}$.Answer:Option D ($\frac{5}{12}$)