# probability of picking a number under 100

I have a set of 100 numbers (from 1 to 100), from which a selector randomly picks numbers. What is the probability, that the selector will pick numbers under 95 (equal or less) three times consecutive?

• What is the chance the first number is under $95$? Do you count $95?$ Then use the multiplication principle to find the chance for all three. You have told us the draws are independent. – Ross Millikan Dec 31 '18 at 17:05
• I do count 95, so it's equal or less than 95. – Ruham Dec 31 '18 at 17:06
• Once a number is picked, does it remain available to be picked again? Or is it like removing cards from a deck? Also, what do you mean by "consequentially"? Do you mean consecutive (three in a row)? – timtfj Dec 31 '18 at 23:47
• It does remain in the batch, yes, consecutive draws of numbers from 1 to 100 equal or less than 95. – Ruham Jan 1 '19 at 8:45