Walkabout wrote:
When a player in a certain game tossed a coin a number of times, 4 more heads than tails resulted. Heads or tails resulted each time the player tossed the coin. How many times did heads result?
(1) The player tossed the coin 24 times.
(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
Nice question, I think even if I came to the right answer, the question still did its job- the job of making me waste some of my time, thinking it's a probability question. only after almost a min did I realise, wait this does not need probability at all.
number of time heads shows up is four more than tails.let tails showed up T time, then Heads showed up T+4 time
(1) The player tossed the coin 24 times.
\(T+T+4=24\)----- >T=10----> \(T+4=14\) < #heads showed up
(2) The player received 3 points each time heads resulted and 1 point each time tails resulted, for a total of 52 points.
\(3(T+4)+T= 52\). solve this we can get the value for T and adding 4 we get value for #of heads.
D.