30 points

alinn flipped a coin 20 times. the coin landed heads up 12 times and tails up 8 times.

part a: based on the results, what is the experimental probability of the coin landing heads up? show your work. (5 points)

part b: what is the theoretical probability of the coin landing heads up? show your work. (5 points)

Hey there, Lets solve this step by step. 

Experimental probability = # favorable / # total 

= 12/20 and 8/20 

 

we have 20 possible cases, and 12 favorable cases

P = 0.6 

P in percentage form, and we get 60% 

In order to find the theoretical probability, we have to keep in mind that, using a coin, we have 1 favorable case and 2 possible cases, since a coin has 2 faces, namely the head face and the tail face,

what is the theoretical probability?  

We are given 12 heads (favorable cases) in 20 times (possible cases),

= 12/20 

1 favorable case ( a head) and 2 possible cases (the number of the face of a coin) (2) 

= 0.5 

 = 50% 

Therefore, P = 50% 

The answer would be (c)