We are flipping a coin three times and the results are given. Let H represent heads and T represent tails.
HHT
Our friends reach a conclusion about the theoretical probability of the coin landing heads up.
Our Friend's Answer
P(H)=2/3
We will check whether our friends is correct. To do so let's remember the theoretical probability.
Theoretical Probability
When all outcomes in a sample space are equally likely, the theoretical probability of an event is the ratio of the number of favorable outcomes to the number of possible outcomes.
From the definition we need to find the number of favorable outcomes and the number of possible outcomes to find the theoretical probability of the coin landing heads up.
Outcome
Number of Outcome
Favorable Outcome
H
1
Possible Outcomes
H, T
2
Now we can find the probability.
P(H)=1/2
Therefore, our friend's answer is incorrect.
Extra
Further Explanation
We are given the number of trials — 3. Also we know that the coin lands on heads 2 times in 3 trials. By using this information we can find the experimental probability.
Experimental Probabilty=Number of Successes/Number of Trials
