# P(multiple of 6 / 2-digit number)

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## Question:

P(multiple of 6 / 2-digit number)

The probability P(multiple of 6 / 2-digit number), that a randomly chosen positive two-digit number is a multiple of 6, is 1/6.

### What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The statement given in the problem is, P(multiple of 6 / 2-digit number). The meaning of this statement is,

• P is the probability of choosing a random number.
• This random number is  a 2-digit number.
• This random number is  a multiple of number 6.

The two digit number ranges from number 10 to number 99. The multiple of 6 in this range are, The total number of multiple of 6 in this range are, Total number between number 10 to number 99 are, The probability of finding a multiple of 6 in two-digit number is, Hence, the probability P(multiple of 6 / 2-digit number), that a randomly chosen positive two-digit number is a multiple of 6, is 1/6.

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