# Compose a 1250 words assignment on the probability of tossing a coin.

Radioisotope has an unstable nucleus that does not have enough force or energy to hold the nucleus together.

Radioactive decay changes one nucleus to another or a new element. this process is called transmutation. The nuclear decay process must satisfy several laws. the value of the quantity after decay must be equal to the nucleus before the decay. The probability that the nucleus will decay does not depend on the nucleus’ age during a fixed length of time.

Radioactive decay is a random process. it is impossible to predict when a particular nucleus will decay. But some methods can be used to measure or calculate the rate of decay, the use of half-life. Half-life is the interval of time required for one-half of the atomic nuclei to decay into other nuclear by emitting the particles. It follows an exponential decay and is constant over the lifetime of the decaying quantity. The formula for half-life in exponential decay is given by the equation below.

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Radioactivity can be modeled using coins. the number of heads every 20 seconds was half the number of coins. Therefore the number of coins ejected will be half the number of coins remained or left. This matches what happens in real radioactive isotopes. This is only possible through probability.

In lab one, the result obtained is expected since approximately 50% of coins decayed for each trial. The graph of the number left is decreasing after every trial. This shows that it has a negative gradient. As the graph ends, it tries to have a straight horizontal line, which makes it different from the graph’s starting. The graph of accumulated coins decayed is the reverse of the decay graph since it has a positive gradient. (Wilson and David)

The result obtained in lab 2 was expected since the graph shows a normal distribution as expected, and it also takes 6 throws to get 2 or fewer coins left. When a graph of the number of decayed&nbsp.first is drawn, the peak occurs at 14.