Theoretical vs Experimental Probability

A fair number cube has faces numbered 1 through 6. What is the theoretical probability of rolling a 4?

Maya flips a fair coin 40 times and gets heads 18 times. What is the experimental probability of getting heads?

A spinner has 4 equal sections: red, blue, green, and yellow. What is the theoretical probability of landing on green?

A bag contains 3 red marbles, 2 blue marbles, and 5 yellow marbles. What is the theoretical probability of picking a blue marble without looking?

A student rolls a fair number cube 60 times and rolls a 6 exactly 8 times. What is the experimental probability of rolling a 6?

For a fair number cube, the theoretical probability of rolling an even number is 3/6, or 1/2. If Jamal rolls the cube 20 times, should he always get exactly 10 even numbers? Explain.

A spinner has 10 equal sections. There are 4 purple sections and 6 orange sections. What is the theoretical probability of landing on purple?

A basketball player makes 12 out of 20 free throws during practice. What is the experimental probability that the player makes a free throw?

A fair coin is flipped once. Find the theoretical probability of tails. Then compare it to an experiment where tails happened 7 times in 10 flips.

A card is chosen from a standard deck of 52 cards. There are 13 hearts in the deck. What is the theoretical probability of choosing a heart?

The table shows the results of spinning a spinner 50 times: red 14 times, blue 11 times, green 10 times, and yellow 15 times. What is the experimental probability of landing on yellow?

A bag has 1 green tile and 9 white tiles. Without looking, a student picks one tile, replaces it, and repeats this 100 times. About how many times would you expect the student to pick the green tile?

Lena rolls a fair number cube 12 times and gets a 3 five times. The theoretical probability of rolling a 3 is 1/6. Is her experimental probability greater than, less than, or equal to the theoretical probability?

A spinner is divided into 8 equal sections. Three sections are labeled A, two sections are labeled B, and three sections are labeled C. Find the theoretical probability of landing on B.

In an experiment, a paper cup lands open side up 22 times out of 50 drops. The theoretical probability is not known. Can you find an experimental probability from the data? Explain.