Math

Question64 college basketball teams are divided into 4 regions. Find the total teams, teams in West region, 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. Let WW be the event that a team is assigned to the West region.

STEP 2

First, we need to identify the total number of teams in the sample space. The sample space is the set of all possible outcomes, which in this case is the total number of teams.
Totalteams=64Total\, teams =64

STEP 3

Next, we need to identify the number of teams in the event WW. Since the teams are divided equally into four regions, we can find the number of teams in each region 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 event WW.
TeamsinW=64/4Teams\, in\, W =64 /4

STEP 5

Calculate the number of teams in event 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. The probability of an event is the ratio of the number of favorable outcomes to the total number of outcomes. In this case, the favorable outcomes are the teams in event WW and the total outcomes are 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 event WW and the total number of teams to calculate the probability.
(W)=16/64(W) =16 /64

STEP 8

Calculate the probability that a randomly chosen team is in event WW.
(W)=16/64=0.25(W) =16 /64 =0.25So, there are64 teams in the sample space,16 teams in the event WW, and the probability that a randomly chosen team is in event WW is0.25.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord