Question

Gina spins a penny 100 times and it lands head side up 38 times. Explain why Gina's experimental probability may be different from the theoretical probability of spinning a coin.

Answer 1

Theoretical probability is what u expect to happen...although it might not happen that way. The theoretical probability of spinning a coin 100 times and it landing on heads is 50%...and 50% of 100 = 50....so  would expect it to and on heads 50 times.
The experimental probability is what actually happens...the experimental probability when spinning a coin 100 times and it landing on heads 38 of those times = 38/100 = 0.38 = 38%

Answer 2

Hey there, Lets solve this problem together. 

Theoretical Probability of an event is the number of ways that the event can occur, divided by the total number of outcomes. 

We have 2 faces (head and tail) so therefore 2 possible cases, furthermore, we have 1 favorable case, namely the outcome head. 

= $p = Favorable / Possible (Cases)$ 

Therefore the theoretical probability, would be for the coin to land 50 times on heads and 50 times and tail. 

Since Gina spins a penny 100 times, We have a even amount of probability. 

We know that - Heads = 38/100 

All of the rest 62 will be tails because 38 + 62 = 100 = 1 Whole

Therefore - Tails = 62/100