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If one die is rolled, then find the probability of the event, that the number on the upper face is prime.Solution :‘S’ is the sample space.S = {1, 2, 3, 4, 5, 6}\(\therefore n(S) =\) ____Event A : Prime number on the upper face.A = {2, 3, 5}\(\theref…

Q.2 (A)(i) If one die is rolled, then find the probability of the event, that the number on the upper face is prime.

Solution :

‘S’ is the sample space.
S = {1, 2, 3, 4, 5, 6}
\(\therefore n(S) =\) ____
Event A : Prime number on the upper face.
A = {2, 3, 5}
\(\therefore n(A) =\) ____
\(\therefore P(A) = \dfrac{\text{____}}{\text{____}}\)
\(\therefore P(A) = \dfrac{\text{____}}{6}\)
\(= \dfrac{1}{2}\)

1 answer

Best answer

Answer: \(n(S) = 6\), \(n(A) = 3\), \(P(A) = \dfrac{n(A)}{n(S)} = \dfrac{3}{6} = \dfrac{1}{2}\)

‘S’ is the sample space, \(S = \{1, 2, 3, 4, 5, 6\}\), so \(n(S) = 6\).

Event A : the number on the upper face is prime. The primes on a die are 2, 3 and 5, so \(A = \{2, 3, 5\}\) and \(n(A) = 3\).

\(P(A) = \dfrac{n(A)}{n(S)} = \dfrac{3}{6} = \dfrac{1}{2}\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report
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