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Question

Match the followings if a fair die is rolled once. Here, P stands for the probability.

A
0
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B
12
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C
1
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Solution

A fair die is rolled once. Possible outcomes= {1,2,3,4,5,6} ∴ Number of possible outcomes= 6 Outcomes with prime numbers= {2,3,5} ∴ Number of outcomes with prime numbers= 3 P (Prime number)=Number of outcomes with prime numbersTotal possible outcomes ⇒P (Prime number)=36=12–––––––––––––––––––––––––––––––– Number of outcome with ‘‘0"= 0 (∵ there is no face in the die with ‘‘0") P (0)=Number of outcome with ‘‘0"Total possible outcomes ⇒P (0)=06=0–––––––––––––––– Outcomes belong to natural numbers = {1,2,3,4,5,6} ∴ Number of outcomes belongs to natural numbers = 6 P (Natural number)=Number of outcomes belong to natural numbersTotal possible outcomes ⇒P (Natural number)=66=1––––––––––––––––––––––––––––––––

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