Suppose a bag consist of 10 balls =5 green + 5 red, drawing a ball from the bag, when you do it 10 times with replacement , you will say that, if i draw balls from the bag 10 times, 5 times green ball will come, and 5 times red ball will occur. So this is theoretical probability.
But i actual there may be difference. Green may come 6 or 4 times and red will occur 4 or 6 times. So this is experimental probability.
When number of draws increases, there are chances that
theoretical probability = experimental probability
Coming to question,
A two sided coin tossed 100 times and record 55 heads up and 45 tails up.
Theoretical probability of coming head [tex]=\frac{50}{100}=\frac{1}{2}[/tex]
Theoretical probability of coming tail [tex]=\frac{50}{100}=\frac{1}{2}[/tex]
Experimental probability of coming head [tex]=\frac{55}{100}=\frac{11}{20}[/tex]
Experimental probability of coming tail [tex]=\frac{45}{100}=\frac{9}{20}[/tex]
