Math

Question64 college basketball teams are split into 4 regions. Find the total teams, teams in region WW, and P(W)P(W).

Studdy Solution

STEP 1

Assumptions1. The total number of teams is64. . The teams are divided equally into four regions West, South, East, and North.
3. WW is the event that a team is assigned to the West region.

STEP 2

First, we need to find the total number of teams in the sample space. This is simply the total number of teams participating in the tournament.
Totalteams=64Total\, teams =64

STEP 3

Next, we need to find the number of teams in the event WW. Since the teams are divided equally into four regions, we can do this by dividing the total number of teams by.
TeamsinW=Totalteams/Teams\, in\, W = Total\, teams /

STEP 4

Now, plug in the given value for the total number of teams to calculate the number of teams in WW.
TeamsinW=64/4Teams\, in\, W =64 /4

STEP 5

Calculate the number of teams in WW.
TeamsinW=64/4=16Teams\, in\, W =64 /4 =16

STEP 6

Finally, we need to find the probability that a randomly chosen team is in event WW. This is the ratio of the number of teams in WW to the total number of teams.
(W)=TeamsinW/Totalteams(W) = Teams\, in\, W / Total\, teams

STEP 7

Plug in the values for the number of teams in WW and the total number of teams to calculate (W)(W).
(W)=16/64(W) =16 /64

STEP 8

Calculate (W)(W).
(W)=16/64=0.25(W) =16 /64 =0.25There are64 teams in the sample space. There are16 teams in the event WW. (W)=0.25(W)=0.25, is the probability that a randomly chosen team is in event WW.

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