Question
A coin was tossed 76 times. Tails appeared 45 times. Find the experimental probability of getting a head.
0.264
0.96
0.41
0.732
0.264
0.96
0.41
0.732
Answers
GPT-4o mini
To calculate the experimental probability of getting heads, you need to determine the number of times heads were tossed, then divide that by the total number of tosses.
1. The total number of tosses is 76.
2. The number of tails is 45, so the number of heads is:
\[
\text{Number of heads} = \text{Total tosses} - \text{Number of tails} = 76 - 45 = 31
\]
3. The experimental probability of getting heads is:
\[
P(\text{Heads}) = \frac{\text{Number of heads}}{\text{Total tosses}} = \frac{31}{76}
\]
4. Now, let's calculate \(\frac{31}{76}\):
\[
\frac{31}{76} \approx 0.4079
\]
This value is approximately 0.41 when rounded to two decimal places.
So, the experimental probability of getting a head is **0.41**.
1. The total number of tosses is 76.
2. The number of tails is 45, so the number of heads is:
\[
\text{Number of heads} = \text{Total tosses} - \text{Number of tails} = 76 - 45 = 31
\]
3. The experimental probability of getting heads is:
\[
P(\text{Heads}) = \frac{\text{Number of heads}}{\text{Total tosses}} = \frac{31}{76}
\]
4. Now, let's calculate \(\frac{31}{76}\):
\[
\frac{31}{76} \approx 0.4079
\]
This value is approximately 0.41 when rounded to two decimal places.
So, the experimental probability of getting a head is **0.41**.