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Maharashtra State BoardSSC (English Medium) 10th Standard

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

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Question

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

Event A: 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 = {`square`}            

∴ n(A) = 3

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

= `square/6`

∴ P(A) = `1/square`

Activity
Sum
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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 = {\[\boxed{2, 3, 5}\]}            

∴ n(A) = 3

P(A) = \[\frac{\boxed{\text{n(A)}}}{\text{n(S)}}\]   ...[Formula]

= \[\frac{\boxed{3}}{6}\]

∴ P(A) = \[\frac{1}{\boxed{2}}\]

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Chapter 5: Probability - Q.2 (A)
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