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A Two Digit Number is to Be Formed Using the Digits 0, 1, 2, 3. Repetition of the Digits is Allowed. Find the Probability that a Number So Formed is a Prime Number. - Algebra

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प्रश्न

A two digit number is to be formed using the digits 0, 1, 2, 3. Repetition of the digits is allowed. Find the probability that a number so formed is a prime number.

योग
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उत्तर

Total Outcomes: {10, 12, 13, 11, 20, 21, 22, 23, 30, 31, 32, 33} = 12

Favourable Outcomes: {11, 13, 23, 31} = 4

`P = "Favourable Outcomes"/"Total Outcomes" = 4/12 =1/3`

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2018-2019 (March) Set 1
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