A 4th degree polynomial will have at most 3 extreme values. Since the degree is even, there will be one global extreme, with possible multiplicity. The remainder, if any, will be local extremes that may be coincident with each other and/or the global extreme.
(The number of extremes corresponds to the degree of the derivative, which is 1 less than the degree of the polynomial.)
The probabilities are as follows
Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.
A spinner has two equal sections one green and one orange.
The spinner is spun three times, resulting in the sample space (S) will be
S = {GGG, GGO, GOG, OGG, GOO, OGO, OOG, OOO}.
If the random variable X represents the number of times orange.
X = 0, 1, 2, 3
For X = 0, then the probability of not getting orange will be
For X = 1, then the probability of getting one orange only will be
For X = 2, then the probability of getting two oranges only will be
For X = 3, then the probability of getting oranges only will be
More about the probability link is given below.