Question
D'marjay is going to flip one coin 4 times. The probability of heads is & and the probability of tails is 2. What is the fractional probability that it will be a combination of two heads and two tails in any order?
Consider all of the possible outcomes.
Consider all of the possible outcomes.
Answers
GPT 3.5
There are a total of 2^4 = 16 possible outcomes when flipping a coin 4 times.
To achieve a combination of two heads and two tails in any order, we can have the following outcomes:
- HHTT
- HTHT
- HTTH
- THHT
- TTHH
- TTHH
There are a total of 6 ways to achieve this combination.
Therefore, the fractional probability of getting a combination of two heads and two tails in any order is 6/16 = 3/8.
To achieve a combination of two heads and two tails in any order, we can have the following outcomes:
- HHTT
- HTHT
- HTTH
- THHT
- TTHH
- TTHH
There are a total of 6 ways to achieve this combination.
Therefore, the fractional probability of getting a combination of two heads and two tails in any order is 6/16 = 3/8.