Question

A proper unbiased coin was tossed 10 times for 3 trials, giving TTHHTHTTHH, TTTTTHHHHH, and THTHHHTTHT (T = Tails; H = Heads). What is the difference between the theoretical and experimental probabilities of getting heads?

Answer 1

theoretical is what you think will be the outcome vs. actually doing it...hope this helps

Answer 2

The difference between the theoretical and experimental probabilities of getting heads is:

0

Explanation:

• We know that while tossing a coin there are just two outcomes either a head will turn up or a tail.

Hence, there are 50-50 chance of getting a head or a tail.

Hence, the theoretical probability is: 1/2

• For finding the experimental probability

The first trial is:

TTHHTHTTHH

In this trial out of 10 times the head turned up 5 times.

Hence, the probability of head is: 5/10=1/2

The second trial is:

TTTTTHHHHH

Here also out of 10 times the head turned up 5 times.

Hence, the probability of getting head is: 5/10=1/2

The third trial is:

THTHHHTTHT

In this trial too the head turned up 5 times out of 10 times.

Hence, the probability of getting head is: 5/10=1/2

Hence, we notices that in each of the trials the probability is: 1/2

i.e. The experimental probability of getting a head is: 1/2

Hence, the difference between the theoretical and experimental probability is:

1/2-1/2=0