Question

experimental probability - quiz - level g
lorena has a jar of coins. she chooses a coin at random, notes what type of coin it is, and returns it to the jar. in the first 10 trials, lorena chooses a dime 3 times.
what is the experimental probability of choosing a dime based on the first 10 trials?
0.3
in the next trial, lorena chooses another dime. what is the experimental probability of choosing a dime based on all the trials?
$\frac{3}{11}$ $\frac{3}{10}$ $\frac{4}{11}$ $\frac{4}{10}$

Explanation:

Step1: Update successful trial count

Original successful trials: 3, add 1 new dime: $3 + 1 = 4$

Step2: Update total trial count

Original total trials: 10, add 1 new trial: $10 + 1 = 11$

Step3: Calculate experimental probability

Divide successful trials by total trials: $\frac{4}{11}$

Answer:

$\frac{4}{11}$ (corresponding to the option: $\boldsymbol{\frac{4}{11}}$)