Question

To determine experimental probability of a head (or a tail) by tossing a coin 1000 times and compare it with its theoretical probability ​

Answer 1

Answer:

Answer

Probability (head) =1/100

Answer 2

Answer:

FROM THIS OBSERVATION WE CAN CONCLUDE THAT THE EXPERIMENTAL AND TEORETICAL PROBABILITIES DO NOT MATCH.

Step-by-step explanation:

Note experimental observation of the coin toss.

Suppose the number of times we get heads is 455 and the number of times we get tails is 545.

Now,

Experimental Probability P(E) =

(the number of times event E occurs)/(total number of trials of the experiment)

Hence,

Experimental Probability of Occurrence of Heads =

(number of times heads occurs)/(total number of trials) = 455/1000 = 0.455

Experimental Probability of Occurrence of Tails =

(number of times tails occurs)/(total number of trials) = 545/1000 = 0.545

Now,

Theoretical Probability P(E) =

(Number of favorable outcomes)/(Total number of possible outcomes)

So, when we flip the coin we can either get a heads or a tails.

Hence, number of favorable outcomes to get a heads or a tails is 1 and total number of possible outcomes is 2 as we can either get tails or heads at a time.

Hence Theoretical Probability of Occurrence of Heads, P(H) = 1/2 = 0.5

Hence Theoretical Probability of Occurrence of Tails, P(T) = 1/2 = 0.5

∴ P(H)=P(T) = 0.5

FROM THIS OBSERVATION WE CAN CONCLUDE THAT THE EXPERIMENTAL AND TEORETICAL PROBABILITIES DO NOT MATCH.