Question 110 pts Probability is a measure of how likely an event is to occur. Choose the probability that best matches each of the following statements: (a) This event is impossible: (b) This event will occur more often than not, but is not extremely likely: (c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials: (d) This event will occur for sure:

(a) This event is impossible:

P=0

(b) This event will occur more often than not, but is not extremely likely: 0.50<P<0.60

(c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:

P<0.01

(d) This event will occur for sure:

P=1

Step-by-step explanation:

(a) This event is impossible:

P=0

In this case, there is no probability of occurrence, so the value of the probability fo this event is zero.

(b) This event will occur more often than not, but is not extremely likely: 0.50<P<0.60

If the event will occur more often than not, it has to have a probability higher than P=0.5.

Although, if it is not extremely likely it should have a value not much bigger than 0.5.

(c) This event is extremely unlikely, but it will occur once in a while in a long sequence of trials:

P<0.01

We can consider a probability value under 1% as extremely unlikely (this value is subjective and depends on the context).

This value is low, but is not zero, so there is a chance than in the long run the event will happen.

(d) This event will occur for sure:

P=1

The only events that will happen with certainty are the ones with probability P=1.