(a) How many two-digit positive integers are multiples of 3?(b) What i

1.	(a) How many two-digit positive integers are multiples of 3?(b) What is the probability that a randomly chosen two-digit positive integer is a multiple of 3?
Answer» (a) 2 digit positive integers which are multiples of 3 are 12, 15, 18, ... , 99. Thus, there are 30 such integers. (b) 2-digit positive integers are 10, 11, 12, ... , 99. Thus, there are 90 such numbers. Since out of these, 30 numbers are multiple of 3, therefore, the probability that a randomly chosen positive 2-digit integer is a multiple of 3, is 30/90 = 1/3.

(a) How many two-digit positive integers are multiples of 3?(b) What is the probability that a randomly chosen two-digit positive integer is a multiple of 3?

Answer»

(a) 2 digit positive integers which are multiples of 3 are 12, 15, 18, ... , 99. Thus, there are 30 such integers.

(b) 2-digit positive integers are 10, 11, 12, ... , 99. Thus, there are 90 such numbers. Since out of these, 30 numbers are multiple of 3, therefore, the probability that a randomly chosen positive 2-digit integer is a multiple of 3, is 30/90 = 1/3.

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(a) How many two-digit positive integers are multiples of 3?(b) What is the probability that a randomly chosen two-digit positive integer is a multiple of 3?

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