Eight teams are competing in the quarter-finals of a world football championship title. three out of them are european. if the teams are paired randomly, what is the probability that none of the european teams have to play against each other?

P(none of them Europeans play against each other)=

Explanation:

Since there are 8 teams in which 3 are Europeans.

So, remaining 5 teams are not Europeans

We have to take 2 teams to pair up.

And we have a condition that neither of team is European.

So the favourable outcome =

and the total outcomes=

So, by using theprobability formula i.e.

P(E)=

P(getting none of European team play against each other)=

=

=

c = 0.429t

step-by-step explanation:

the constant rate at which carlos harvests cassava is 35 minutes per 15 cassavas 15/35 = 0.429 cassava per minute

therefore, an equation that models the number of cassava (c) that harvest carlos in a time (t) is the following:

where t is the time in minutes.

this means that when 35 minutes have elapsed 15 cassava have been harvested, at 70 minutes 30 cassava have been harvested and so on.