Consider the experiment of tossing a loaded coin in which heads is three times as likely as tails to occur. Simulation of the experiment uses a random number function, considering a toss to be tails (T) if the result is less than 0.25, and considering a toss to be heads (H) if the result is greater than or equal to 0.25. The result of 10 simulations is shown below.

H, H, H, T, H, H, H, T, H, T

Using these 10 outcomes of the experiment estimate the probabilities P(H) and P(T) by the ratios.

P(H) = number of times H occurred/10 =???
P(T) = number of times T occurred/10 =??

Question

Consider the experiment of tossing a loaded coin in which heads is three times as likely as tails to occur. Simulation of the experiment uses a random number function, considering a toss to be tails (T) if the result is less than 0.25, and considering a toss to be heads (H) if the result is greater than or equal to 0.25. The result of 10 simulations is shown below.

H, H, H, T, H, H, H, T, H, T

Using these 10 outcomes of the experiment estimate the probabilities P(H) and P(T) by the ratios.

P(H) = number of times H occurred/10 =???
P(T) = number of times T occurred/10 =??

anonymous · Answer

what are the actual probabilities?
P(H) =?
P(T) =?

anonymous · Answer

P(h)=.7
P(T)-.3

anonymous · Answer

*P(T)=.3

anonymous · Answer

what about the number of times tales occurred divided by 10?

anonymous · Answer

obviously its the same number but they said it was incorrect last time i put that

anonymous · Answer

anyone know?

dumbcow · Answer

P(H) = 7/10 
P(T) = 3/10

anonymous · Answer

but that wasn't the correct answer.....

dumbcow · Answer

is there any other part of the question?
They want P(H) and P(T) based on the simulation correct?

anonymous · Answer

yes correct which is why i do not understand why that is not the correct answer.....

dumbcow · Answer

hmm me neither

anonymous · Answer

Although the sample shows differently, techincally, the proability of heads is 1/2 and tails is 1/2 ... Do those input as the correct answer?

anonymous · Answer

they said it has something to do with theheads being three times more likely to occur

anonymous · Answer

the actual probabilities were correct just not the estimated ones

dumbcow · Answer

Its a loaded coin...where the actual probabilities are
P(H) = 0.75
P(T) = 0.25

anonymous · Answer

wait i lied. the actual probabilities were incorrect

anonymous · Answer

Ahh, see you solved it yourself.. I guess it would've helped if I read the problem.. ;/

anonymous · Answer

nvm...?

dumbcow · Answer

The estimated probabilities must be
P(H) = 7/10
P(T) = 3/10

anonymous · Answer

yes that is correct. now what are the actual probabilities?

dumbcow · Answer

see above ^^

anonymous · Answer

If it  is 3 times more likely, Acutual probabilities are: p(h) = 3/4 p(t) = 1/4