Question

zayden has a jar of coins. he chooses a coin at random, notes what type of coin it is, and returns it to the jar. in 15 trials, zayden chooses a penny 7 times.
c) what is the experimental probability of choosing a penny based on the 15 trials?
d) on the 16th trial, zayden chooses a nickel. what is the experimental probability of choosing a penny based on the 16 trials?
e) on the 17th trial, zayden chooses another penny. what is the experimental probability of choosing a penny based on the 17 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
$\text{Probability} = \frac{7}{15}$

Step3: Calculate for 16 trials

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

Step4: Calculate for 17 trials

Successful trials (penny) =7+1=8, Total trials =17
$\text{Probability} = \frac{8}{17}$

Answer:

1. $\frac{7}{15}$
2. $\frac{7}{16}$
3. $\frac{8}{17}$