Question

3. Consider the following problem : It is known that 25% of a planet is land and 75% of it is water. If 10 meteors are heading towards the planet, what is the probability that they all miss land and crash into the water? Design an experiment to determine this probability using a nickel and a dime. (A)

4.The probability of having three boys out of four children is to be determined. A simulation is conducted in which the experimental probability is exactly equal to the theoretical (actual) probability. If the event occurred 53 times during trials, how many trials were conducted? (T/I)

Answer 1

Given that 25% of a planet is land and 75% of it is water. Probability that a meteor will crash into the water is 0.75.
Probability that all 10 will miss land and crash into the water is

This experiment can be designed using a throw of a nickel and a dime.
Both heads means that the meteor will crash on the land
At least one tail means that the meteor will crash into the water

By one throw of  a nickel and a dime we will be able to predict that meteor will crash on the land or into the water. We can repat this experiment N number of times.

4. Probability that there will be three boys out of four children is given by

Given that the experimental probability is exactly equal to the theoretical (actual) probability. Thus in N experiment there will be N/4 cases when this event occured. Since the event occurred 53 times during trials, the number of trials must be 53x4 = 212.