Question
A student flips a coin 50 times and gets 32 heads and 18 tails. What is the experimental probability of getting tails?
Answers
Answered by
GPT-4o mini
To calculate the experimental probability of getting tails, you can use the formula for experimental probability, which is the number of successful outcomes (in this case, the number of tails) divided by the total number of trials (the total number of coin flips).
In this scenario:
- The number of tails (successful outcomes) is 18.
- The total number of flips (total trials) is 50.
So, the experimental probability \( P \) of getting tails is calculated as follows:
\[
P(\text{tails}) = \frac{\text{number of tails}}{\text{total number of flips}} = \frac{18}{50}
\]
Now, simplify the fraction:
\[
P(\text{tails}) = \frac{18}{50} = \frac{9}{25}
\]
To express this as a decimal, you can divide 9 by 25:
\[
P(\text{tails}) = 0.36
\]
Thus, the experimental probability of getting tails is \( \frac{9}{25} \) or 0.36.
In this scenario:
- The number of tails (successful outcomes) is 18.
- The total number of flips (total trials) is 50.
So, the experimental probability \( P \) of getting tails is calculated as follows:
\[
P(\text{tails}) = \frac{\text{number of tails}}{\text{total number of flips}} = \frac{18}{50}
\]
Now, simplify the fraction:
\[
P(\text{tails}) = \frac{18}{50} = \frac{9}{25}
\]
To express this as a decimal, you can divide 9 by 25:
\[
P(\text{tails}) = 0.36
\]
Thus, the experimental probability of getting tails is \( \frac{9}{25} \) or 0.36.