The integers form 1 to 100 are randomly separated into two groups of 50 integers each. what is the probability that 37 and 89 are in the same group

Let the probability that 37 will in the first group be q and probability 89 will be in the second group be s. since quality and s are independent events,
p (q)=1/50
p (s)=1/50
thus p (QnS)=(1/50)(1/50)
=
=1/2500

therefore the probability that 37 & 89 will be in the same group is 1/2500

When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates. if you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.