Hello, Kakariki!

The problemsaresimple, but require some careful thinking.

And you did fine!

There are 8 opposite-sex married couples at a party.

Two people are chosen at random to win a door prize.

a) What is the probability that the 2 people will be married to each other?

Solution:

So, that means that it's: . . . Right!

The first person can beb) What is the probability that the 2 people will be of the same sex?of the 16 people: .any

The second must be one of the other 7 people of the same sex: .

Therefore: .

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Another approach . . .

There are 120 possible outcomes.

Therefore: .

c) If 6 people are chosen, what is the probability that they are 3 married couples?

There are 8 married couples, so: .

Therefore: . . . Yes!