Question

I really need help on this​

Answer 1

Part A:
`(3)/(5)`

Part B:
`(1)/(2)`

Explanation:

Pre-Solving

We know that Alinn flipped a coin 20 times, and that 12 of those times resulted in heads. The other 8 times resulted in tails.

Part A wants us to find the experimental probability of the coin landing on heads. Experimental probability is the probability determined based on the experiments performed.

Part B wants us to find the theoretical probability of the coin landing on heads. Theoretical probability is determined based on the number of favorable outcomes over the number of possible outcomes.

Part A

Experimental probability is determined as # of times something occurred experimentally / total number of times.

Since 12 of the 20 times that Alinn flipped the coin resulted in heads, this means that the experimental probability of Alinn flipping heads is
`(12)/(20)`, which simplifies down to
`(3)/(5)`.

Part B

Theoretical probability, as stated above, is the number of favorable outcomes / possible outcomes.

Our favorable outcome is flipping heads, and on a coin, there are two sides that a coin can land on: heads and tails. This means that there are two possible outcomes, and only one of them is favorable.

This means that our theoretical probability is
`(1)/(2)`.