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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

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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`

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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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