Sandy used a virtual coin toss app to show the results of flipping a coin 80 times, 800 times, and 3,000 times. Explain what most likely happened in Sandy’s experiment.

Sandy’s experimental probability was exactly the same as the theoretical probability for all three experiments.

Sandy’s experimental probability was closest to the theoretical probability in the experiment with 80 flips.

Sandy’s experimental probability was closest to the theoretical probability in the experiment with 800 flips.

Sandy’s experimental probability was closest to the theoretical probability in the experiment with 3,000 flips.

Question 2(Multiple Choice Worth 2 points)

(Experimental Probability MC)

A spinner with 4 equal sections is spun 20 times. The frequency of spinning each color is recorded in the table below.

Outcome Frequency

Pink 6

White 3

Blue 7

Orange 4

What statement best compares the theoretical and experimental probability of landing on orange?

The theoretical probability of landing on orange is one fifth, and the experimental probability is 20%.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 20%.

The theoretical probability of landing on orange is one fifth, and the experimental probability is 30%.

The theoretical probability of landing on orange is one fourth, and the experimental probability is 50%.

Question 3(Multiple Choice Worth 2 points)

(Experimental Probability MC)

Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.

Outcome Frequency

Green 4

Black 6

Orange 5

Based on the given frequency, determine the experimental probability of selecting an orange marble.

0.27

0.33

0.40

0.67

Question 4(Multiple Choice Worth 2 points)

(Experimental Probability LC)

A number cube is tossed 60 times.

Outcome Frequency

1 12

2 13

3 11

4 6

5 10

6 8

Determine the experimental probability of landing on a number less than 2.

35 over 60

25 over 60

13 over 60

12 over 60

Question 5(Multiple Choice Worth 2 points)

(Experimental Probability MC)

A coin is flipped 200 times. The table shows the frequency of each event.

Outcome Frequency

Heads 98

Tails 102

Determine the experimental probability of landing on heads.

102%

98%

50%

49%

Question 6 (Essay Worth 4 points)

(Experimental Probability HC)

A coin is flipped at the start of every game to determine if Team A (heads) or Team B (tails) will get the ball first.

Part A: Find the theoretical probability of a fair coin landing on heads. (1 point)

Part B: Flip a coin 14 times and record the frequency of each outcome. Be sure to include the frequency of each outcome in your answer. Then, determine the experimental probability of landing on heads and compare it to the theoretical probability. (3 points)

experimentalprobability was exactly the same as the theoreticalprobabilityfor all three experiments.probabilityof landing on orange is one fourth, and the experimental probability is 20%.experimental probabilityof selecting an orange marble is 0.33.probabilityof landing on a number less than 2 is 12 over 60.experimental probabilityof landing on heads is 49%.theoretical probabilityof a fair coin landing on heads is 0.5.## How to calculate the probability?

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