To determine the experimental probability that the coin lands on heads based on Johnny's experiment, follow these steps:
1. Identify the total number of flips:
Johnny flipped the coin a total of 450 times.
2. Identify the number of times the coin landed on heads:
Out of these, the coin landed on heads 240 times.
3. Establish the ratio for the experimental probability:
The experimental probability of an event is defined as the number of times the event occurs divided by the total number of trials. Here, the event is the coin landing on heads.
4. Write the probability as a ratio:
The experimental probability [tex]\( P(\text{Heads}) \)[/tex] is given by:
[tex]\[
P(\text{Heads}) = \frac{\text{Number of times heads appears}}{\text{Total number of flips}} = \frac{240}{450}
\][/tex]
5. Simplify the fraction:
To simplify [tex]\(\frac{240}{450}\)[/tex], find the greatest common divisor (GCD) of 240 and 450, which is 30:
[tex]\[
\frac{240 \div 30}{450 \div 30} = \frac{8}{15}
\][/tex]
Hence, the simplified fraction representing the experimental probability is:
[tex]\[
\frac{8}{15}
\][/tex]
Additionally, we can also express this as a decimal:
[tex]\[
\frac{240}{450} \approx 0.5333
\][/tex]
So, the experimental probability that the coin lands on heads is [tex]\(\frac{8}{15}\)[/tex].
