1 / 10

EXAMPLE 1

Find the probability that a point chosen at random on PQ is on RS. –. –. 6. 3. Length of RS Length of PQ. 4 ( 2) 5 ( 5). ,. =. =. P ( Point is on RS ) =. =. –. –. 10. 5. EXAMPLE 1. Use lengths to find a geometric probability. SOLUTION. 0.6 , or 60%.

allene
Download Presentation

EXAMPLE 1

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Find the probability that a point chosen at random on PQis on RS. – – 6 3 Length of RS Length of PQ 4 ( 2) 5 ( 5) , = = P(Point is on RS)= = – – 10 5 EXAMPLE 1 Use lengths to find a geometric probability SOLUTION 0.6, or 60%.

  2. EXAMPLE 2 Use a segment to model a real-world probability MONORAIL A monorail runs every 12 minutes. The ride from the station near your home to the station near your work takes 9 minutes. One morning, you arrive at the station near your home at 8:46. You want to get to the station near your work by 8:58. What is the probability you will get there by 8:58?

  3. EXAMPLE 2 Use a segment to model a real-world probability SOLUTION STEP 1 Find: the longest you can wait for the monorail and still get to the station near your work by 8:58. The ride takes 9 minutes, so you need to catch the monorail no later than 9 minutes before 8:58, or by 8:49. The longest you can wait is 3 minutes (8:49 – 8:46 = 3 min).

  4. Model: the situation. The monorail runs every 12 minutes, so it will arrive in 12 minutes or less. You need it to arrive within 3 minutes. EXAMPLE 2 Use a segment to model a real-world probability STEP 2 The monorail needs to arrive within the first 3 minutes.

  5. P(you get to the station by 8:58) Favorable waiting time 3 1 = = = Maximum waiting time 12 4 The probability that you will get to the station by 8:58. is 1 ANSWER or 25%. 4 EXAMPLE 2 Use a segment to model a real-world probability STEP 3 Find: the probability.

  6. Find the probability that a point chosen at random on PQis on the given segment. Express your answer as a fraction, a decimal, and a percent. RT 1. Length of RT Length of PQ P(Point is on RT)= – – 2 ( 1) 5 ( 5) 1 = = 10 – – for Examples 1 and 2 GUIDED PRACTICE SOLUTION , 0.1, 10%

  7. TS 2. Length of TS Length of PQ P(Point is on TS)= – – 1( 4) 5 ( 5) 1 = = 2 – – PT 3. Length of PT Length of PQ P(Point is on PT)= – – – 5 ( 1) 5 ( 5) 2 = = 5 – – for Examples 1 and 2 GUIDED PRACTICE , 0.5, 50% , 0.4, 40%

  8. RQ 4. Length of RQ Length of PQ P(Point is on RQ)= – – – 2 ( 5) 5 ( 5) 7 = = 10 – – for Examples 1 and 2 GUIDED PRACTICE , 0.7, 70%

  9. for Examples 1 and 2 GUIDED PRACTICE 5. WHAT IF?In Example 2, suppose you arrive at the station near your home at 8:43. What is the probability that you will get to the station near your work by 8:58? SOLUTION STEP 1 Find the longest you can wait for the monorail and still get to the station near your work by 8:43. The ride takes 9 minutes, so you need to catch the monorail no later than 9 minutes before 8:58, or by 8:49. The longest you can wait is 6 minutes (8:49 – 8:43 = 6 min).

  10. P(you get to the station by 8:43) Favorable waiting time 6 1 = = = Maximum waiting time 12 2 The probability that you will get to the station by 8:58. is 1 or 50%. 2 for Examples 1 and 2 GUIDED PRACTICE STEP 2 Model the situation. The monorail runs every 12 minutes, so you need it to arrive within 6 minutes. STEP 3 Find the probability.

More Related