Question

If a two digit number is chosen at random, then the probability that the number chosen is a multiple of 3, is

विकल्प

• \[\frac{3}{10}\]

• \[\frac{29}{100}\]

• \[\frac{1}{3}\]

• \[\frac{7}{25}\] 

Answer 1

 A two digit number is chosen at random to find Probability that the number chosen is a multiple of 3

Total two digit numbers are 90

Two digit Numbers multiple of 3 are 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99

Hence total two digit numbers multiple of 3 are 30

We know that Probability = `"Number of favourable event"/"Total number of event"` 

Hence the probability that the number chosen is a multiple of 3 is equal to `30/90=1/3`