# If one die is rolled, then find the probability of the following event by completing the activity. Event A: The number on the upper face is prime. Activity: Let ‘S’ be the sample space. - Algebra

Sum

If one die is rolled, then find the probability of the following event by completing the activity.

Event A: The number on the upper face is prime.

Activity: Let ‘S’ be the sample space.

S = {1, 2, 3, 4, 5, 6}

∴ n(S) = 6

Event A : Prime number on the upper face.

A = {______}

∴ n(A) = 3

P(A) = square/("n"("S"))    .....[Formula]

= square/6

∴ P(A) = 1/square

#### Solution

Let ‘S’ be the sample space.

S = {1, 2, 3, 4, 5, 6}

∴ n(S) = 6

Event A : Prime number on the upper face.

A = {2, 3, 5}

∴ n(A) = 3

P(A) = ("n"("A"))/("n"("S"))    .....[Formula]

= 3/6

∴ P(A) = 1/2

Concept: Probability of an Event
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