Question
Liz flips a coin 70 times. The coin lands heads up 49 times and tails up 21 times. Complete each statement.
Question content area bottom
Part 1
The theoretical probability of the coin landing heads up is
enter your response here%.
(Type an integer or a decimal.)
Question content area bottom
Part 1
The theoretical probability of the coin landing heads up is
enter your response here%.
(Type an integer or a decimal.)
Answers
GPT-4o mini
The theoretical probability of a fair coin landing heads up is calculated as the number of favorable outcomes (which is 1 for heads) divided by the total number of possible outcomes (which is 2, for heads and tails).
The formula for the theoretical probability is:
\[
P(\text{Heads}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{2}
\]
To express this as a percentage, multiply by 100:
\[
P(\text{Heads}) = \frac{1}{2} \times 100 = 50\%
\]
Thus, the theoretical probability of the coin landing heads up is **50%**.
The formula for the theoretical probability is:
\[
P(\text{Heads}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \frac{1}{2}
\]
To express this as a percentage, multiply by 100:
\[
P(\text{Heads}) = \frac{1}{2} \times 100 = 50\%
\]
Thus, the theoretical probability of the coin landing heads up is **50%**.