Question

zayden has a jar of coins. he chooses a coin at random, notes what type of coin it is, and returns to the jar in 15 trials, zayden chooses a penny 7 times. what is the experimental probability of choosing a penny based on the 15 trials? \\(\frac{?}{15}\\) for the 16th trial, zayden chooses a nickel. what is the experimental probability of choosing a penny based on the 16 trials?

Explanation:

Step1: Define experimental probability

Experimental probability = $\frac{\text{Number of successful trials}}{\text{Total number of trials}}$

Step2: Calculate for 15 trials

Successful trials (penny) = 7, Total trials = 15
Probability = $\frac{7}{15}$

Step3: Calculate for 16 trials

Successful trials (penny) = 7, Total trials = 16
Probability = $\frac{7}{16}$

Answer:

1. $\frac{7}{15}$
2. $\frac{7}{16}$