Question

cathy flipped a coin and rolled a die at the same time and recorded the result each time. she repeated her experiment 25 times. her outcomes are shown below.
(h, 3) (t, 6) (h, 4) (h, 4) (h, 5)
(h, 6) (t, 1) (h, 5) (h, 1) (t, 1)
(t, 1) (h, 2) (t, 5) (t, 3) (t, 3)
(h, 4) (h, 4) (t, 5) (h, 6) (h, 4)
(t, 4) (t, 3) (t, 6) (t, 2) (t, 2)
based on the results of cathy’s experiment, select the experimental probability of getting (h, 4) on the next trial of the experiment.
options: \\(\frac{4}{25}\\), \\(\frac{1}{5}\\), \\(\frac{2}{3}\\), \\(\frac{4}{5}\\)

Explanation:

Step1: Count (H,4) occurrences

Look through the outcomes and count how many times (H, 4) appears. From the list: (H,4), (H,4), (H,4), (H,4) → 4 times.

Step2: Total trials

Total number of trials is 25 (given she repeated 25 times).

Step3: Calculate experimental probability

Experimental probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}$ = $\frac{4}{25}$.

Answer:

$\frac{4}{25}$ (corresponding to the first option)