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
50%.
(Type an integer or a decimal.)
Part 2
Based on Liz's results, the experimental 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
50%.
(Type an integer or a decimal.)
Part 2
Based on Liz's results, the experimental probability of the coin landing heads up is
enter your response here%.
(Type an integer or a decimal.)
Answers
Answered by
GPT-4o mini
Part 1: The theoretical probability of the coin landing heads up is **50%**.
Part 2: To find the experimental probability of the coin landing heads up based on Liz's results, use the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}}
\]
In this case, Liz flipped the coin 70 times and got heads 49 times:
\[
\text{Experimental Probability} = \frac{49}{70}
\]
Calculating this gives:
\[
\text{Experimental Probability} = 0.7
\]
To convert this to a percentage, multiply by 100:
\[
0.7 \times 100 = 70\%
\]
So, the experimental probability of the coin landing heads up is **70%**.
Part 2: To find the experimental probability of the coin landing heads up based on Liz's results, use the formula:
\[
\text{Experimental Probability} = \frac{\text{Number of Heads}}{\text{Total Number of Flips}}
\]
In this case, Liz flipped the coin 70 times and got heads 49 times:
\[
\text{Experimental Probability} = \frac{49}{70}
\]
Calculating this gives:
\[
\text{Experimental Probability} = 0.7
\]
To convert this to a percentage, multiply by 100:
\[
0.7 \times 100 = 70\%
\]
So, the experimental probability of the coin landing heads up is **70%**.