Nickels falling over You may feel it’s obvious that the probability of a head tossing a coin is about$\frac{1}{2}$because the coin has two faces. Such opinions are not always correct. Stand a nickel on the edge on a hard, flat surface. Pound the surface with your hand so that the nickel falls over. Do this $25$time, and record the results.

(a) What’s your estimate for the probability that the

coin falls heads up? Why?

(b) Explain how you could get an even better estimate.

To make the nickel on the edge fall over, we must pound the surface with our hands. Carry out these exercise$25$times and keep track of the results.

Probability is the likelihood that an event will occur and is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The chance of the coin landing heads up can be computed as follows: If you got $10$heads out of a total of $25$repetitions. The probability of heads is calculated by dividing the number of heads you got on the repeats by the number of repetitions you did: $P\left(heads\right)=\frac{10}{25}=0.4$As a result, the probability of the coin landing heads up is estimated to be$0.4$

Yes, we can obtain a more accurate estimate. By increasing the number of repetitions conducted, you can achieve a more accurate estimate. As a result, by increasing the number of repeats, the estimate can improve even more. To achieve a better estimate, the repetitions should be more than$12$