Question

WILL MEDAL AND FAN

A tournament consists of four teams. Lions, Tigers, Bears, and Sharks. What is the probability that the Bears and Sharks are randomly chosen for the first game?

A 1/4
B: 1/6
C 1/8
D 1/12

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During a recent in - service day, teachers participated in 8 different training sessions on various topics. In how many different orders could the sessions be completed?

A : 64 ( my guess )
B: 16
C : 40,320
D : 5,040

Answer 1

You need to choose two teams
How many choices do yo have for the first team?

Answer 2

Four

Answer 3

Good.
Once you choose one team to be the first team for the first game, now you need to choose the second team.
How many teams are left to choose the second team from?

Answer 4

3

Answer 5

Good.
Now multiply them together.

Answer 6

12

Answer 7

Ok. There are 12 ways in which you can choose 2 items out of 4.
There is just one last thing you need to keep in mind.
If you choose Bears first then Sharks, or if you choose Sharks first, then Bears, it will be the same game between the same two teams.
That means out of the 12 combinations of 2 teams, there 6 combinations only without allowing for repeats.

Answer 8

So it would be 1/6

Answer 9

Exactly.

Answer 10

Thank you! :) um do you know anything about the other one?

Answer 11

How many teachers can you choose to be the first teacher?

Answer 12

Then how many are left to choose the second teacher?
Then how many are left to be the third teacher?
Keep on asking until you ask abut the 8th teacher.
Then multiply a the numbers together.