Question

a coin tossed 1500 times with the following frequency Head= 655 Tail=845 ​

Answer 1

Let the number of times the coin is tossed be n , the frequency of head be H and the frequency of the tail be T, then

The number of times the coin is tossed n=1500

So total possibilities of this event n=1500

Also, the number of occurrence or the frequency of head H=655

And the number of occurrence or the frequency of tail T=845

So, the probability of coming heads P(H)=Hn

Substituting the values of H and n we get,

P(H)=6551500=0.436

Similarly,

The probability of coming tails P(T)=Tn

Substituting the values of T and n we get,

P(T)=8451500=0.563

Therefore, the probability of Heads is 0.436 and the probability of Tails is 0.563.

Note: The probability of any event, no matter how many times the event has occurred, is always less than or equal to 1. If the probability of the event is 1, then it means that the event is a “certain event,” and if the probability of the event is 0 then it means that the event is an “impossible event.”