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.

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. 

=  

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