Statistical Reasoning SOL 7.8, 7.9a-c

The spinner has 4 sections of equal size.

Kim spun the arrow 40 times. It landed on the two section 24 times. Jason will spin the arrow next. When Jason spins the arrow, what is the theoretical probability that the arrow will land on the two section? Your answer must be in fraction form.

The spinner has 5 sections of equal size. The arrow of this spinner was spun 75 times. On 30 out of the 75 times, the arrow landed on a section labeled T. What was the experimental probability of the arrow landing on a section labeled T?

The spinner has 6 sections of equal size. The arrow of this spinner was spun 60 times. On 45 out of the 60 times, the arrow landed on a section labeled 4. What was the theoretical probability of the arrow landing on a section labeled 4?

Henry picked a card from a deck 10 times. He replaced the card after selecting a card each time. What is the experimental probability of Henry selecting a club card? Write answer as a

fraction in simplest form.

These cards are the same size and shape. They are placed inside a bag. What is the theoretical probability of selecting a diamond card? Write your answer as a fraction in simplest form.

These cards are the same size and shape. They are placed inside a bag. A card is randomly selected and then placed back inside the bag. This is done 50 times. The card with a heart is selected 8 times. Fill in the blank with the correct inequality to show the relationship between theoretical and experimental probability.

If you were to conduct this experiment 1,000 times, how might theexperimental andtheoretical probabilities compare to one another?

• The theoretical probability of selecting a card with a star stays the same. The experimental probability should get farther apart to the theoretical probability.

• The theoretical probability of selecting a card with a star changes. The experimental probability should get closer to the theoretical probability.

• The theoretical probability of selecting a card with a star changes. The experimental probability should get farther apart to the theoretical probability.

• The theoretical probability of selecting a card with a star stays the same. The experimental probability should get closer to the theoretical probability.

The table show the results of 60 rolls of a fair number cube numbered 1 to 6. Which statement best describes the experimental probability and theoretical probability of rolling a 3?

The news uses a weather simulator to predict the theoretical probability of precipitation. The computer simulation predicted that theoretically, precipitation should occur in 60% of the month of January. Which statement best compares the theoretical and experimental probability of precipitation in January?

• The theoretical and experimental probability of precipitation is equal.

• The theoretical is less than the experimental probability of precipitation.

• The theoretical is greater than the experimental probability of precipitation.

• The data given is not enough to compare the experimental and the theoretical probability

  of precipitation.

If you keep track of flipping a coin for 5 days 100 times, what relationship can you expect between the experimental and theoretical probabilities?

• As you flip the coin the theoretical probability will stay the same, but the

  experimental probability will decrease.

• As you flip the coin the theoretical probability will decrease, but the experimental probability will stay the same.

• As you flip the coin the theoretical probability will increase, but the experimental

  probability will stay the same.

• As you flip the coin the theoretical probability will stay the same, but the experimental probability will become closer to the theoretical probability.