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 counter	number of outcomes
red, yellow	3
yellow, red	3
yellow, yellow	10

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.

1. a bag contains 9 green, 14 purple, 7 orange, and 20 black beads. suppose you had a large bag of 300 beads with the same color ratios, what is the probability of randomly selecting either a purple or black bead from the large bag?
2. a fruit bowl has 5 apples, 11 bananas, 4 pears, and 10 grapes. if a commercial shipment contains 500 fruits with the same proportions, what is the probability of choosing either an apple or a pear from the shipment?

Explanation:

Step1: Calculate yellow outcomes (first problem)

Total yellow outcomes: $3 + 3 + 10 = 16$

Step2: Find yellow trial proportion

Proportion: $\frac{16}{20} = \frac{4}{5}$

Step3: Predict 50-trial yellow outcomes

Prediction: $50 \times \frac{4}{5} = 40$

Step1: Calculate total small bag beads (Q1)

Total beads: $9 + 14 + 7 + 20 = 50$

Step2: Sum purple+black beads

Purple+black: $14 + 20 = 34$

Step3: Find probability

Probability: $\frac{34}{50} = \frac{17}{25}$

Step1: Calculate total bowl fruits (Q2)

Total fruits: $5 + 11 + 4 + 10 = 30$

Step2: Sum apple+pear fruits

Apple+pear: $5 + 4 = 9$

Step3: Find probability

Probability: $\frac{9}{30} = \frac{3}{10}$

Answer:

40
$\frac{17}{25}$
$\frac{9}{30}$ or $\frac{3}{10}$