Probability of 2 picked numbers in an interval the smallest being bigger or equal to 80

33 Views Asked by At

The problem is based on picking 2 people of 100.All 100 have badges with their numbers.Whats the probability of those 2 the smallest being bigger or equal to 80?

I believe its 20C2/100C2 is this right?

1

There are 1 best solutions below

1
On

In your answer the denominator represents the number of ways to pick the two people out of $100$. The numerator should represents the number of ways to pick two people from the range $80$ to $100$ inclusive (there are $100-80+1=21$ numbers in this range). Hence the answer is $$ {\binom{21}{2}}\biggr/{\binom{100}{2}} $$