Question

Which statements are true about the experimental and theoretical probability of this trial Jacob's Coin Flips?

A) The theoretical probability of landing heads up is less than the experimental probability of landing heads up.

B) The experimental probability of landing tails up is less than the theoretical probability of landing tails up.

C) The experimental probability of landing heads up is less than the experimental probability of landing tails up.

D) The experimental probability of landing heads up is equal to the theoretical probability of landing heads up.

Answer 1

The theoretical probability of landing heads up in a fair coin flip is 0.5. The experimental probability may vary and can be greater or lesser than the theoretical probability.

Step-by-step explanation:

The theoretical probability of landing heads up in a fair coin flip is 0.5 or 50%. This is because there is one outcome of the coin landing heads up out of the two possible outcomes (heads or tails).

If you conduct an experiment by flipping a coin multiple times, the experimental probability of landing heads up may vary from the theoretical probability. For example, if you flip the coin 10 times and get 6 heads and 4 tails, the experimental probability of landing heads up would be 0.6 or 60%, which is greater than the theoretical probability.

Based on this information, the correct statements among the options are:

A) The theoretical probability of landing heads up is less than the experimental probability of landing heads up.

B) The experimental probability of landing tails up is less than the theoretical probability of landing tails up.