Question

1. a bag contains:

• 3 blue marbles
• 4 red marbles
• 11 green marbles

a marble is drawn and replaced 90 times. the results are shown in the table. what is the experimental probability of drawing a blue marble?
results

1. a dime and a quarter are flipped 150 times. the results are shown in the table. based on these results, what is the experimental probability of both coins landing on tails?

probability experiment

Explanation:

Step1: Identify blue marble frequency

Blue frequency = 22, total trials = 90

Step2: Calculate experimental probability

$\text{Probability (Blue)} = \frac{22}{90} = \frac{11}{45}$

Step3: Identify both tails frequency

Both tails frequency = 39, total flips = 150

Step4: Calculate experimental probability

$\text{Probability (Both Tails)} = \frac{39}{150} = \frac{13}{50}$

Answer:

1. The experimental probability of drawing a blue marble is $\frac{11}{45}$ (or approximately 0.244)
2. The experimental probability of both coins landing on tails is $\frac{13}{50}$ (or 0.26)