Estimate Ping Pong Balls in a Tank: Johnny Ball Example

Johnny Ball uses the capture-recapture method to estimate the number of ping pong balls in a tank. By marking and re-releasing balls, he determines an approximate count based on tagged samples. Through various scenarios, he practices this intelligent technique for estimation. Watch the video linked for a visual demonstration.

• Estimation
• Ping Pong Balls
• Capture-Recapture
• Intelligent Practice

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Uploaded on Sep 16, 2024 | 0 Views

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1. Capture Capture- -Recapture Recapture Silent Teacher Intelligent Practice Your Turn Narration Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 20 have marks. What is his estimate for the number of ping pong balls in the tank? Practice Johnny Ball video https://www.youtube.com/watch?v=tyX79mPm2xY

2. Worked Example Your Turn Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 20 ping pong balls and notices that 8 have marks. What is his estimate for the number of ping pong balls in the tank? Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 20 have marks. What is his estimate for the number of ping pong balls in the tank?

3. Worked Example Your Turn Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 20 ping pong balls and notices that 8 have marks. What is his estimate for the number of ping pong balls in the tank? Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 20 have marks. What is his estimate for the number of ping pong balls in the tank? Total Tagged Total Tagged 250 100 250 100 x5 5 x100 100 50 20 2.5 1 x8 8 20 8 Notice also do x2.5 Notice also do x2.5

4. Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 200, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 50, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 20 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 25 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 100 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 5 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 8 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 50, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 25 ping pong balls and notices that 8 have marks. What is his estimate for the number of ping pong balls in the tank? .

5. Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 200, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . 1000 200 Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 50, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . 250 50 Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . 500 100 50 10 50 10 50 10 x5 x5 x5 Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 20 have marks. What is his estimate for the number of ping pong balls in the tank? . 250 Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 25 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . 250 100 Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 100 ping pong balls and notices that 10 have marks. What is his estimate for the number of ping pong balls in the tank? . 1000 100 100 100 10 50 20 25 10 x10 X2.5 X2.5 Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 5 have marks. What is his estimate for the number of ping pong balls in the tank? . Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 100, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 50 ping pong balls and notices that 8 have marks. What is his estimate for the number of ping pong balls in the tank? . 625 100 Johnny Ball wants to estimate how many ping pong balls are in a tank. He takes out 50, marks them with a pen and then returns them to the tank. Having mixed them all up he takes out 25 ping pong balls and notices that 8 have marks. What is his estimate for the number of ping pong balls in the tank? . 156 50 1000 100 50 8 25 8 50 5 X6.25 X3.125 x10