Question #1: Brenda throws a dart at this square-shaped target:

A square is shown with sides labeled 11. A shaded circle is shown in the center of the square. The diameter of the circle is 2.

Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work.

Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work.

Question #2:

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.

Part B: What is the theoretical probability of the coin landing heads up? Show your work.

Question #3:

Jake tossed a paper cup 50 times and recorded how it landed. The table shows the results:

Position: Open Side Up Closed Side Up Landing on Side Number of Times Landed in Position: 1 5 44

Based on the table, determine the experimental probability of each outcome (landing open side up, landing closed side up, and landing on its side). Show your work.

Question #4:

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.