Suppose that the Clements High School Marching band has an 85% chance of making it to the 6A State Marching Contest. Their in district rival, Austin High School, has an 80% chance of making it to the 6A State Marching Contest. The schools that make it to the state marching contest have a 30% chance of qualifying for the finals at the state marching contest. Use this information and a tree diagram to find the following probabilities.P(Clements makes it to the State Marching Contest and advances to the finals) =
Question
Suppose that the Clements High School Marching band has an 85% chance of making it to the 6A State Marching Contest. Their in district rival, Austin High School, has an 80% chance of making it to the 6A State Marching Contest. The schools that make it to the state marching contest have a 30% chance of qualifying for the finals at the state marching contest. Use this information and a tree diagram to find the following probabilities.P(Clements makes it to the State Marching Contest and advances to the finals) =
Solution
To find the probability that Clements High School makes it to the State Marching Contest and advances to the finals, we need to multiply the probability of each event happening.
Step 1: Identify the probabilities given in the problem.
- The probability of Clements High School making it to the State Marching Contest is 85% or 0.85.
- The probability of a school that makes it to the state marching contest advancing to the finals is 30% or 0.30.
Step 2: Multiply these probabilities together to find the probability of both events happening.
- P(Clements makes it to the State Marching Contest and advances to the finals) = P(Clements makes it to the State Marching Contest) * P(advances to the finals)
- P(Clements makes it to the State Marching Contest and advances to the finals) = 0.85 * 0.30 = 0.255 or 25.5%
So, the probability that Clements High School makes it to the State Marching Contest and advances to the finals is 25.5%.
Similar Questions
At Howard High School, 53% of all students participate in after-school sports and 27% participate in both after-school sports and music lessons. What is the probability that a student participates in music lessons given that the student participates in after-school sports?A.80%B.26%C.51%D.14%SUBMITarrow_backPREVIOUS
EXERCISE:1. The probability that it will rain on a given day is 63%. A child has a 12% chance of falling in dryweather and is three times as likely to fall in wet weather.Draw a tree diagram to represent all outcomes of the above information.What is the probability that a child will not fall on any given day?What is the probability that a child will fall in dry weather?
It is known that 70% of the students staying less than 20 km away from the campus. 80% of them using public transport to travel to the campus. Of those who are staying more than 20 km away from the campus, 10% of them using public transport to travel to the campus. (i) Draw a well-labelled probability tree diagram with the joint probabilities calculated to illustrate this situation. (ii) Find the probability that a randomly selected student using public transport to travel to campus. iii) Find the probability that a randomly selected student staying less than 20 km away from the campus given that he/she does not use public transport to travel to campus. ( iv) Are the events "staying less than 20 km away from the campus" and "using public transport to travel to campus" independent? Explain.
Jamie wakes up late on average 1 days out of every 5. If Jamie wakes up late, the probability that she is late for school is 80%. If Jamie doesn't wake up late the probability that she is late for school is 35%. Create a tree diagram by entering the percentages and then calculate the percent chance that Jamie gets to school on time. Enter your answers as a decimal or fraction between 0 and 1. Late On time Late On time Late On time A B C D E F Wake up Get to School [Graphs generated by this script: setBorder(0);initPicture(-8.3,5.5);strokewidth = '2';marker = 'arrow';line([-8,0], [-3,2]);line([-8,0], [-3,-2]);line([0,2], [2,3]);line([0,2], [2,1]);line([0,-2], [2,-1]);line([0,-2], [2,-3]);text([-1.7,2], 'Late');text([-1.6,-2], 'On time');text([4,3], 'Late');text([4,1], 'On time');text([4,-1], 'Late');text([4,-3], 'On time');fontweight = 'bold';text([-6,1.5], 'A');text([-6,-1.5], 'B');text([.7,2.8], 'C');text([.7,1.3], 'D');text([.7,-1.3], 'E');text([.7,-2.9], 'F');text([-1.6,4], 'Wake up');text([4,4], 'Get to School');] Place your percentages here: C: A: D: B: E: F: The percent chance (as a decimal) that Jamie gets to school on time:
At Monroe High School, 62% of all students participate in after-school sports and 11% participate in both after-school sports and student council. What is the probability that a student participates in student council given that the student participates in after-school sports?A.7%B.18%C.15%D.11%
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.