Answer :
To determine the experimental probability of a coin landing on heads based on Dave's experiment, we need to follow these steps:
1. Identify the total number of flips.
- Dave flips the coin 100 times. So, the total number of flips is 100.
2. Identify the number of heads.
- Out of these 100 flips, the coin lands on heads 47 times.
3. Calculate the experimental probability.
- The experimental probability of an event is given by the formula:
[tex]\[ \text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}} \][/tex]
- For heads, this means substituting the number of heads and the total number of flips into our formula:
[tex]\[ \text{P(heads)} = \frac{47}{100} \][/tex]
4. Simplify the fraction to a decimal.
- Dividing 47 by 100:
[tex]\[ \frac{47}{100} = 0.47 \][/tex]
Thus, the experimental probability of the coin landing on heads is:
[tex]\[ \text{P(heads)} = 0.47 \][/tex]
So, the answer is [tex]\( \text{P(heads)} = 0.47 \)[/tex].
1. Identify the total number of flips.
- Dave flips the coin 100 times. So, the total number of flips is 100.
2. Identify the number of heads.
- Out of these 100 flips, the coin lands on heads 47 times.
3. Calculate the experimental probability.
- The experimental probability of an event is given by the formula:
[tex]\[ \text{Experimental Probability} = \frac{\text{Number of times the event occurs}}{\text{Total number of trials}} \][/tex]
- For heads, this means substituting the number of heads and the total number of flips into our formula:
[tex]\[ \text{P(heads)} = \frac{47}{100} \][/tex]
4. Simplify the fraction to a decimal.
- Dividing 47 by 100:
[tex]\[ \frac{47}{100} = 0.47 \][/tex]
Thus, the experimental probability of the coin landing on heads is:
[tex]\[ \text{P(heads)} = 0.47 \][/tex]
So, the answer is [tex]\( \text{P(heads)} = 0.47 \)[/tex].
