Question
Question
If you toss two coins simultaneously, what is the probability of getting exactly one head? Write your answer in the simplest form of fraction.(1 point)
Responses
12
Start Fraction 1 over 2 End Fraction
14
Start Fraction 1 over 4 End Fraction
28
Start Fraction 2 over 8 End Fraction
18
If you toss two coins simultaneously, what is the probability of getting exactly one head? Write your answer in the simplest form of fraction.(1 point)
Responses
12
Start Fraction 1 over 2 End Fraction
14
Start Fraction 1 over 4 End Fraction
28
Start Fraction 2 over 8 End Fraction
18
Answers
GPT-4o mini
To find the probability of getting exactly one head when tossing two coins, we first list all the possible outcomes. The outcomes when tossing two coins are:
1. Heads (H), Heads (H) — HH
2. Heads (H), Tails (T) — HT
3. Tails (T), Heads (H) — TH
4. Tails (T), Tails (T) — TT
The possible outcomes are: HH, HT, TH, TT.
Now, we identify the outcomes that result in exactly one head:
- HT
- TH
There are 2 favorable outcomes (HT and TH) out of a total of 4 possible outcomes.
To find the probability, we use the formula:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{2}{4} = \frac{1}{2}
\]
Thus, the probability of getting exactly one head is:
**Start Fraction 1 over 2 End Fraction**
1. Heads (H), Heads (H) — HH
2. Heads (H), Tails (T) — HT
3. Tails (T), Heads (H) — TH
4. Tails (T), Tails (T) — TT
The possible outcomes are: HH, HT, TH, TT.
Now, we identify the outcomes that result in exactly one head:
- HT
- TH
There are 2 favorable outcomes (HT and TH) out of a total of 4 possible outcomes.
To find the probability, we use the formula:
\[
\text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Possible Outcomes}} = \frac{2}{4} = \frac{1}{2}
\]
Thus, the probability of getting exactly one head is:
**Start Fraction 1 over 2 End Fraction**