Probability and permutation

Algebra Level pending

A number is picked randomly from the set of 5-digit natural numbers. What is the probability that at least one of the digits of the number thus picked is 0?


The answer is 0.344.

Snehit Panghal by snehit panghal , 20, India

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

1 solution

Zico Quintina
Jun 27, 2018

There are 90 , 000 90,000 5-digit numbers. Of those, 9 5 = 59049 9^5 = 59049 contain no zeroes, so the remaining 30951 30951 contain at least one zero.

Thus the probability we want is 30951 90000 = 0.3439 \dfrac{30951}{90000} = \boxed{0.3439}

2 Helpful 0 Interesting 0 Brilliant 0 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...