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samara flipped a two - color chip counter 2 times during a probability …

Question

samara flipped a two - color chip counter 2 times during a probability experiment. the chip counter is red on one side and yellow on the other. the outcomes of the first 20 trials are shown in the table.

color showing on flipped chip counternumber of outcomes
red, yellow7
yellow, red5
yellow, yellow5

based on the information in the table, predict how many of the next 50 trials will have an outcome with at least 1 chip counter showing yellow.
samara flipped a two - color chip counter 2 times during a probability experiment. the chip counter is red on one side and yellow on the other. the outcomes of the first 20 trials are shown in the table.

color showing on flipped chip counternumber of outcomes
red, yellow4
yellow, red2
yellow, yellow8

based on the information in the table, predict how many of the next 200 trials will have an outcome with at least 1 chip counter showing yellow.

Explanation:

Step1: Count favorable past trials

First problem: $7 + 5 + 5 = 17$
Second problem: $4 + 2 + 8 = 14$

Step2: Find experimental probability

First problem: $\frac{17}{20}$
Second problem: $\frac{14}{20} = \frac{7}{10}$

Step3: Predict future trials

First problem: $50 \times \frac{17}{20} = 35$
Second problem: $200 \times \frac{7}{10} = 170$

Answer:

  1. 35
  2. 170