Question

A required condition for a discrete probability function is:

A. every possible outcome must be a well defined number.
B. the probability of any outcome must be greater than or equal to zero.
C. the probabilities of all possible outcomes must sum to one.
D. all of the above

Answer 1

D. all of the above

Step-by-step explanation:

All of the above mentioned conditions satisfies a discrete probability function.

For A:

i) If a die is rolled ones, there is probability of obtaining 1,2,3,4,5 or 6 as outcome which are well defined numbers

For B:

ii) If a coin is flipped ones, the probability of obtaining a head or a tail is 1 or 0. The probability of any outcome of any event is either greater than or equal to zero.

For C:

iii) The probability of an outcome for any event to occur is 1/2, the sum of outcome for all events occurs must be equal to one. (1/2)+(1/2)=1

Answer 2

D. all of the above

Step-by-step explanation:

The discrete probability functions consists of all the characteristics given in options.

For example,

(1) If we roll a dice 6 times, there are chances that Head will appear 2 or 3 times which is the well defined number of outcome.

(2) If we roll a dice 2 times, the probability of appearing Head could be 0,1 or 2 which satisfies the criteria that probability of any outcome must be greater than or equal to zero.

(3) Suppose if roll a dice once, there are 50% chances of appearing both Head and Tails and the sum of the probability is equal to 100% or 1.