Question

1. joan flipped a coin 24 times. the coin landed on heads 14 times and landed on tails 10 times.

what is the theoretical probability the coin will land on tails for her next flip?
what is the experimental probability the coin will land on tails for her next flip?

Explanation:

Step1: Theoretical Probability

A fair coin has 2 possible outcomes (heads or tails), and tails is 1 outcome. So theoretical probability of tails is $\frac{1}{2}$.

Step2: Experimental Probability

Experimental probability is number of tails divided by total flips. Tails = 10, total = 24. So $\frac{10}{24}=\frac{5}{12}$.

Answer:

Theoretical probability: $\frac{1}{2}$
Experimental probability: $\frac{5}{12}$